slope-intercept from two points (4,-8) and (8,5)​

Answers

Answer 1

Here you go :)

Slope is equal to the change in y over the change in x or rise over run:

m = change in y/change in x

The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise):

m=y2−y1/x2−x1

Substitute in the values of x and y into the equation to find the slope:

m=5−(−8)/8−(4)

Simplify:

m=13/4

Substitute the value of m into the slope-intercept form of the equation, y = m x + b :

y=(13/4)x+b

Substitute the value of x into the slope-intercept form of the equation, y = m x + b .

y = ( 13/ 4 ) ⋅ ( 4 ) + b

Substitute the value of y into the slope-intercept form of the equation, y = m x + b .

− 8 = ( 13/ 4 ) ⋅ ( 4 ) + b

Rewrite the equation as ( 13 4 ) ⋅ ( 4 ) + b = − 8 .

( 13/ 4 ) ⋅ ( 4 ) + b = − 8

Cancel the common factor.

13/ 4 ⋅ 4 + b = − 8

Rewrite the expression.

13 + b = − 8

Move all terms not containing b to the right side of the equation.

b = − 21

The values of the slope and y-intercept are m = 13 4 and b = − 21 .

m = 13 4

b = − 21

________

Answered by James


Related Questions

2. The ground below your feet moves at the rate at which
A. A rocket takes off
B. Sound travels
C. Your fingernails grow

Answers

I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!

The measures of the angles of a triangle are shown in the figure below. Solve for x.

PLEASE HELP

Answers

Answer:

Step-by-step explanation:

You order two servings of pancakes and a fruit cup . The cost of the fruit cup is $1.50 . You leave a 15% tip. Your total bill is 11.50$ . How much is one serving of a pancake ?

Answers

Answer:

$4.25

Step-by-step explanation:

(1.5 + 2p) x 1.15 = 11.5

1.725 + 2.3p=11.5

2.3p=9.775

p=4.25

chek

4.25+4.25+1.5=10

10×1.15=11.5

DUE IN 6 MINUTES!!

Which diagram provides a counter example to the statement below?

“Supplementary angles are never congruent.”


Answers

Two or more angles are supplementary if and only if they can add up to [tex]180^{o}[/tex].  Thus, the appropriate option would be C.

Supplementary angles are angles that add up to the value of angle on a straight line i.e [tex]180^{o}[/tex].

Congruent property of angles implies that they have equal value.

Thus, the given statement that: “Supplementary angles are never congruent”, implies that they can not be equal in value. Thus the contrary to the statement would be: “Supplementary angles are sometimes congruent.”

Considering the figures given in the question, the counter example to the given statement is the figure in option C. [tex]180^{o}[/tex]. Because angle 1 and 2 are approximately equal.

Visit: https://brainly.com/question/14941189

Pls help i cant think rn
One angles of a linear pair is 10 more than two thirds the other angle. Find the measure of both angles.
20 points and brainliest who ever gets it right!

Answers

Answer:

just write it into a number problem instead of word problem, then I can solve it!! :)

Step-by-step explanation:

I can only solve it when there is a pic of it or if you write it in NUMBERS NOT WORDS. :)

A certain plant grows 1 3/4 inches every week how long will it take the plant to grow 9 1/4 inches. HELPPP I’m dumb

Answers

It only takes 13/4 days inn week

43 +62 +57 + m / 4 = 55

Answers

the answer is .. m= -428

The numbers -12, -7, -2, 3 follow a pattern. What are the next three numbers in this pattern?

Answers

Answer:

8,13

Step-by-step explanation:

The pattern in +5 so 3+5=8, and 8+5=13

Answer:

8, 13, 18

Step-by-step explanation:

I'll mark u the brainliest if u answer this

Answers

Answer:

Option B

m<1 + m<2 = 180-m<3

Explanation:

This is how you will find the third interior angle of a triangle when two angles are already given.

Does anyone know this? If the answer is correct ill mark you as the best answer!

Which of the following does NOT represent the equation y= 2x

Answers

Answer:

G

Step-by-step explanation:

In F, the graph goes up by two and only to the side by 1. 2/1 simplifies to 2.

In H, y being the double of x would be equal to 2/1 again.

And in J, the numbers are also being doubled.

The slope for G would just be 0, which is undefined.

find the slope and the y intercept of the points (0,1) and (2,-3)​

Answers

Answer:

The slope is -2 and y intercept is 1

Step-by-step explanation:

The slope is found by finding the run, or change in x coordinates from coordinate 1 to 2, which is 2 in this problem, and the rise, or change in y coordinates from coordinate 1 to 2, which is -4 in this problem. To find the y-intercept, you need to find the point on the line that has a x coordinate of 0, which is (0,1) on this line, which means the y-intercept is the y value of the coordinate, or 1.

F(-4)=-8 and f(-8)=-11

Answers

Answer:

f=2 and f=11/8

Step-by-step explanation:

Let's solve your equation step-by-step.

f(−4)=−8

Step 1: Simplify both sides of the equation.

−4f=−8

Step 2: Divide both sides by -4.

−4f

−4

=

−8

−4

f=2

Let's solve your equation step-by-step.

f(−8)=−11

Step 1: Simplify both sides of the equation.

−8f=−11

Step 2: Divide both sides by -8.

−8f

−8

=−11/−8

f=11/8

(1.2÷0.375−0.2)/(6 4/25 ÷15 2/5 +0.8) = (0.016÷0.12+0.7)/x

Answers

Answer:

x=1/3

read below to find out how I solved!

Step-by-step explanation:

break it down.

First do 1.2÷0.375−0.2 = 1.2.

it is now 1.2/(6 4/25 ÷15 2/5 +0.8) = (0.016÷0.12+0.7)/x

now do 6 4/25 ÷15 2/5 +0.8 = 3

it is now 1.2/3 = (0.016÷0.12+0.7)/x

now do 0.016÷0.12+0.7 and that is 5/6

now you have 1.2÷3 = 5/6 ÷ x

solve for x and you should get x = 1/3!!

what is 5(-x) equal to?

Answers

Answer:

?

Step-by-step explanation:

where are the options?

Shun bought an MP3 player that usually sells for $68 at a
discount of 15%. What did Shun pay for the discounted
MP3 player?

Answers

Answer:

$57.8

Step-by-step explanation:

68 (Original Price) x 0.15 (Discount in %) = $10.2 (Discount Amount)

68 - 10.2 = 57.8

Answer:

$55.8

Step-by-step explanation:

68 times %15 = 10.2 so subtract 68 by 10.2 and that = 55.8

0.7686 ÷ -0.14 can someone answer this within 1 min for five star answer

Answers

Answer:

-5.49

Good Luck!!!

$19.39÷12 I just need the answer asap

Answers

Answer:

$1.62

Step-by-step explanation:

(Why not use a calculator for this?)

Answer:

19.39 divided by 12 is

1.615 or 1.61583333

Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1

Answers

Answer: -8 and 9
Explanation: -8 x 9 = -72 and -8 + 9 = 1

Byron’s workout starts with a
warmup at home, and then he runs
at 4 mi/h. After half an hour of
running, he is 2 miles from home.
What is an equation in point-slope form that represents Byron’s
distance from home, y, after
x hours?

Answers

Answer:

An equation in point-slope form that represents Byron’s  distance from home, y, after  x hours is y=4x+2

Step-by-step explanation:

Speed of Byron = 4 miles / hour

Distance traveled in x hours = [tex]Speed \times time[/tex]

Distance traveled in x hours = 4x

We are given that After half an hour of  running, he is 2 miles from home

So, Total distance = 4x+2

So, y = 4x+2

Hence an equation in point-slope form that represents Byron’s  distance from home, y, after  x hours is y=4x+2

What is this number written in scientific notation: 0.0000453​

Answers

Answer:

4.53 x 10^-5

Step-by-step explanation:

What does the - 8 do in the function k(x)?

k(x) = x^2 - 8

Answers

Answer:

the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)

mn-rs=x +2p solve for p

Answers

Answer:

[tex]p = \frac{mn-rs - x}{2} [/tex]

Step-by-step explanation:

[tex]if \: mn-rs=x +2p \\ x +2p = mn-rs \\ 2p = mn-rs - x \\ p = \frac{mn-rs - x}{2} [/tex]

can u please help!!! ​

Answers

Answer:

Aw, it doesn't let me see the picture... can you explain it and what we are supposed to find?

Step-by-step explanation:

What is 2/0.75 simplified?

Answers

Answer:

5/4

Step-by-step explanation:

Which expression can be used to convert 100 USD to Japanese yen?

Answers

1 USD = 113.83 Japanese Yen

100 USD = 100 x 113.83 Japanese Yen

100 USD = 11,383.00 Japanese Yen

Some number minus 11 is equal to the product of the number and 18.

Answers

Answer:

n - 11 = 18n

Step-by-step explanation:

n−11=18n

Step 1: Subtract 18n from both sides.

n−11−18n=18n−18n

−17n−11=0

Step 2: Add 11 to both sides.

−17n−11+11=0+11

−17n=11

Step 3: Divide both sides by -17.

−17n−17=11−17

n=−1117

Answer:

n = −11/17

The slope of the line below is -2

Answers

Option D is the correct answer

If a line passes through the point (0,-8), the y-intercept is

Answers

Answer:

y-intercept = -8

Step-by-step explanation:

The y-intercept is where the line goes through the y axis. It is also the value when x = 0. From what the problem gives us, we know the y-intercept is -8 because the x value is 0

One serving of Mike’s crackers has 150 calories and a mass of 30 grams. How many calories are in 6 grams of crackers?

Answers

Answer:

30Cals

Step-by-step explanation:

150/30*6

Easy.

Given h(x) = -4x – 5, solve for x when h(x) = 7.

Answers

Answer:

x=-3

Step-by-step explanation:

h(x)=7

-4x-5=7

-4x=12

x=-3

Answer: -3

Step-by-step explanation:

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