What is the equation (y=mx+b) for the points (3,-1) and (4,7) PLZ SHOW HOW YOU GOT THE Y-INTERCEPT

Answer:

[tex]y=8x-25[/tex]

Step-by-step explanation:

The first thing to do is to find the slope. The slope is the difference in Y divided by the difference in x, or:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Here (3, -1) is going to be (x1, y1) and (4, 7) will be (x2, y2):

[tex]m=\frac{7--1}{4-3}=\frac{8}{1}=8[/tex]

The slope is 8. Now, you can plug that into the formula. To find the y-intercept, plug in any point on the line and solve for b:

[tex]y=mx+b\\-1=8(3)+b\\-1=24+b\\b=-25[/tex]

Now we have both the slope and the y-intercept so you can write the equation for the line:

[tex]y=8x-25[/tex]

You can test that either by checking y for some value of x, or by graphing.

3/15 as an improper fraction

Given f(x) and g(x) are inverse functions. If f(-2)=1 then g(1)=-2

True

False

Heights of women have a bell-shaped distribution with a mean of 161 cm and a standard deviation of 7 cm. What percent of women fall between 154 cm and 182 cm

What property is -5(-9x^2+8)+20=10x^2-15

What’s 100/100 in simplest form

What is the equation of this line?

-2 5/12 - (-10 8/9)

A​ 12-sided die is rolled. The set of equally likely outcomes is​ {1,2,3,4,5,6,7,8,9,10,11,12}. Find the probability of rolling a number greater than 7

The expression 63+81,
How can you can use the distributive property in the GCF to find a equivalent expression? Explain how can you check your answer

СЕ
What is the product of
(5m2) (2m -3)
7
7m6
10
10m6

-6x - 3= 27
Help pless ​

In which of these situations would the answer to the
question be 0?
A) The low temperature one day was -10°F. The high
temperature that day was 10 F. What is the difference
between the low temperature and the high temperature
that day?
B) A trail to walk up a hill begins at an elevation -16 yards.
The trail ends at an elevation of 16 yards. By how many
yards does the elevation of the trail change from
beginning to end?
C) Justine left her grandmother's house and walked 3
blocks directly south. Then she walked 3 blocks directly
north. At this point, how many blocks was Justine from
her grandmother's house?
D) Theodore jumped into a pool from a diving board 10
feet above the water. He sank 10 feet and then swam
straight up to the surface of the water. How many feet
did Theodore swim?

-8-8-6-2 4 12 22
What is the nth term rule of the quadratic sequence

help me due today it is math

If the silver accounts for 84% of the bar's weight, what is the weight of the silver?

help me plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Determine the period of the following graph.

Without graphing, classify the system of equations as either consistent or inconsistent.
−7x+8y=9

21x/8−3y=−6

Please answer!! Only if your answer is correct though.

- A small waffle cone has a height of 6 inches and a diameter of 2.5 inches. Two scoops of
sorbet are placed on the wide end of the cone. The scoops are spheres with a diameter
of 2.5 inches. If all the sorbet melts into the cone, will the cone overflow?

I will mark brainlist
Find the geometric mean between 18 and 7. Write your answer in radical form.



• 3 square root of 14


• 126



• 9 square root of 7



• 128

Kiran wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.25 per pound and raspberries cost $2.50 per pound. How many pounds of fruit does he buy if he buys 2 pounds of blueberries and 1.5 pounds of raspberries? How many pounds of fruit does he buy if he buys x pounds of blueberries and y pounds of raspberries?

how to solve subtraction of percentage from whole numbers​

2
Technology required. A plane leaves the ground with an elevation angle of 6 degrees.
The plane travels 10 miles horizontally.
a. How high is the plane at the time?
b. What is the distance of the plane's path?
Round answers to the nearest tenths.
How high is the plane at this time?
miles
What is the distance of the plane's path?
miles

A flight from Boston to London took only 5 hours because of a strong tailwind. The flight back to Boston against the same wind took 6 hours. What was the speed of the wind if the speed of the plane in still air is 550 mph?

A shoe box in the shape of a rectangular prism has these dimensions 14in,8 1/2in,4 3/4inwhat is the volume

the value of x in the solution to the system x+y=10 and x-y=4

It takes 10 pounds of potatoes to make 15 pounds of mashed potatoes. At this rate, how many pounds of mashed potatoes can be made with 15 pounds of potatoes?

helpppppppppp WILLLL GIVE BRAINLISTTTTT

Paul was thinking of a number. Paul adds 1.2 to the number the doubles the result to get an answer of 68.3. Form an equation with x from the information​