Answer:
y = -
x + 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = ![\frac{y_{2}-y_{1} }{x_{2}-x_{1} }](https://tex.z-dn.net/?f=%5Cfrac%7By_%7B2%7D-y_%7B1%7D%20%20%7D%7Bx_%7B2%7D-x_%7B1%7D%20%20%7D)
with (x₁, y₁ ) = (8, 3 ) and (x₂, y₂ ) = (- 4, 9 )
m =
=
= -
, then
y = -
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 4, 9 ) , then
9 = 2 + c ⇒ c = 9 - 2 = 7
y = -
x + 7 ← equation of line