Question

The points (8,-16) and (6,-14) fall on a particular line. What is its equation in slope-intercept form?​

Answer 1

Good morning,

Answer:

y = -x - 8

Step-by-step explanation:

look at the photo below for the details.

:)

Answer 2

Answer:

y = -x - 8

Step-by-step explanation:

First, calculate the slope:

m = $\frac{y2-y1}{x2-x1}$

(x₁, y₁) will be (8, -16)

(x₂, y₂) will be (6, -14)

Plug in values:

m = $\frac{-14 - -16}{6-8}$

simplify:

m = $\frac{2}{-2}$

m = -1

plug values into y = mx + b:

-16 = (-1)(8) + b

solve for b:

b - 8 = -16

b = -8

rewrite the equation:

y = -1x - 8

y = -x - 8