Question

Find the equation of the line passing through the points (8,-16) and (1,5)

Answer 1

Answer:

y = -3x + 8

Step-by-step explanation:

First, find the slope using rise/run

21/-7

= -3

Then, find the y-intercept by using the slope and by plugging in a point

5 = -3(1) + b

5 = -3 + b

8 = b

So, the equation will be:

y = -3x + 8

Answer 2

Hey there! :)

Answer:

y = -3x + 8.

Step-by-step explanation:

Use the slope formula to solve for the slope:

$m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}$

Plug in the coordinates:

$m = \frac{-16-5}{8 - 1}$

Simplify:

$m = \frac{-21}{7}$

m = -3.

Plug in the x and y value, along with the slope into the slope-intercept formula (y = mx + b) to solve for b:

5 = -3(1) + b

5 = -3 + b

b = 8.

Rewrite the equation:

y = -3x + 8.