Answer:
y =
x + 14
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 ) = (- 3, - 2) and (x₂, y₂ ) = (5, 4) ← 2 points on the line
m =
=
=
=
, then
y =
x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, 4 )
4 =
(5) + c =
+ c ( subtract
from both sides )
4 -
= c , then
c =
-
=

y =
x +
← equation of line