Answer:
y = 3x - 10
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 ) = (2, - 4 ) and (x₂, y₂ ) = (5, 5 )
substitute these values into the formula for m
m =
=
=
= 3 , then
y = 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (5, 5 )
5 = 3(5) + c = 15 + c ( subtract 15 from both sides )
- 10 = c
y = 3x - 10 ← equation of line