Question

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

Answer 1

y = -3x + 8

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.

Explanation:

Use the slope formula to solve for the slope:

`m = \frac{\text{rise}}{\text{run}} = (y_2 - y_1)/(x_2 - x_1)`

Plug in the coordinates:

`m = (-16-5)/(8 - 1)`

Simplify:

`m = (-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.