Answer:
y =
x + 4
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 =
with (x₁, y₁ ) = (- 6, - 4) and (x₂, y₂ ) = (3, 8)
m =
=
=
=
, then
y =
x + c ← is the partial equation
To find substitute either of the 2 points into the partial equation
Using (3, 8 ) , then
8 = 4 + c ⇒ c = 8 - 4 = 4
y =
x + 4 ← equation of line