Find the equation of line b described below, in slope-intercept form

Line a is perpendicular to line b
Line a passes through the points (1,-8) and (9,-12)
Line b passes through the point (-8, -16)
The equation of line b is y= ______

Given:

Line a is perpendicular to line b .

Line a passes through the points (1,-8) and (9,-12) .

Line b passes through the point (-8, -16).

To find:

The equation of b.

Solution:

Line a passes through the points (1,-8) and (9,-12) . So, slope of line a is

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

[tex]m_a=\dfrac{-12-(-8)}{9-1}[/tex]

[tex]m_a=\dfrac{-12+8}{8}[/tex]

[tex]m_a=\dfrac{-4}{8}[/tex]

[tex]m_a=-\dfrac{1}{2}[/tex]

Product of slopes of two perpendicular lines is -1.

[tex]m_a\times a_b=-1[/tex]

[tex]-\dfrac{1}{2}\times a_b=-1[/tex]

[tex]b=2[/tex]

Slope of line b is 2.

If a line passing through a point [tex](x_1,y_1)[/tex] with slope m, then equation of line is

[tex]y-y_1=m(x-x_1)[/tex]

Line b passing through (-8,-16) with slope 2. So, equation of line b is

[tex]y-(-16)=2(x-(-8))[/tex]

[tex]y+16=2(x+8)[/tex]

[tex]y+16=2x+16[/tex]

Subtract 16  from both sides.

[tex]y=2x[/tex]

Therefore, the equation of line b is [tex]y=2x[/tex].

Company A makes business cards for $2.25 a
box and a setup fee of $4.50. Company B makes
business cards for $1.75 a box and a setup fee of
$6.00. How many boxes of business cards does each
ramiany make for the price to be equal

An item is priced at $13.51. If the sales tax is 7%, what does the item cost including sales tax? please help ‍♀️‍♀️

I WILL GIVE BRAINLIEST PLZ ANSWER, RUNNING OUT OF TIME!!!

When
When 7 is subtract from three times a certain number the result is 28 what is the number

Given line m is parallel to line n. What theorem or postulate justifies the statement? ∠1 ≅ ∠4

Mr. Smith has an account balance of -$275.78. He deposits $539.20 into his account. What is Mr. Smith's account balance now? *

I need to show work please i need help

What is the answer to

0.04 is 1/10 of _____

Stonebridge neighborhood garage sale had these cash receipts for 5 days: $136.97, $256.21, $366.10, $176.04, $72.49. What were the total cash receipts?

BRAINLIEST!!!!!! easy question

To estimate the mean number of text messages sent by cell-phone users, a researcher chooses a location on a college campus in the city and surveys the first 50 people who walk past. These subjects are asked how many text messages they have sent in the past 24 hours. Is it likely that bias will be present in the sample?

A) Because this is a convenience sample, it is likely that the sample results will be unbiased.
B) Because this is a convenience sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.
C) Because this is a convenience sample of college students, it is likely that bias is present and that the results will underestimate the mean number of text messages sent.
D) Because this is a voluntary response sample of college students, it is likely that bias is present and that the results will overestimate the mean number of text messages sent.

Noah and Diego left the amusement park’s ticket booth at the same time. Each moved at a constant speed toward his favorite ride. After 8 seconds, Noah was 17 meters from the ticket booth, and Diego was 43 meters away from the ticket booth. 1.Which line represents the distance traveled by Noah, and which line represents the distance traveled by Diego? Label each line with one name.​

Sarah works in a clothing store for $12.00 per hour. If her pay is increased to $14.00, then what is her percent increase in pay?

¿Cuál de estos es un número primo? 733 712 702 725​

asdgyuagsdyagdyausdasdas

help ASAP!! please. i dont get it!

4. If S is in the interior of ZPQR , then mZPQS + m_SQR = m_PQR.
a. Protractor Postulate
b. collinear
c. angle bisector
d. angle
e. Angle Addition Postulate

Sharon wants to make cookies for her class bake sale. She found a recipe that calls for 2/3 cups of flour for each batch of cookies. How many batches can she make using 12 cups of flour?

1. Find the perimeter of the cross. All sides are the same length.
a. 40
b. 80
C. 90
d. 120
10
10
2. Find the area of the cross.
a. 500
b. 600
c. 120
d. 50
10

it takes avery 48 seconds to sprint 365 m. what is her average speed?

A breakfast cereal comes in two different sized packages. The 8-ounce box costs $2.88 while the 12-ounce box costs $3.60. Which is the better buy? How much does the better buy cost per ounce?

2b/3-5=3 what is the value of b​

Andrea jumped 5 times every 45 minutes. At that rate, how many
would she jump in 54 minutes?
bo optional

Which expression is undefined?
A)sin-1(1)
B)sin-1 (-2)
C)cos-1(0)
D)cos -1(-1)

Give an example of a fraction that results in a repeating decimal. Explain how to round the decimal number to the the nearest thousandth.

what is the fraction of 1578

Use the Distributive Property to evaluate: 3(21 + 6)

What does E=MC2 mean? Thanks.

-5 – 5 + (6 x -7) x 2

A triangle has a base of 16 inches and a height of 1/8 inches. What is the area?