Type the slope-intercept equation of the line that passes through
the points (3,-2) and (6,4).
y = [? ]x + []

y = 2x - 8

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 =

with (x₁, y₁ ) = (3, - 2) and (x₂, y₂ ) = (6, 4)

m = = = 2, then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (6, 4 ), then

4 = 12 + c ⇒ c = 4 - 12 = - 8

y = 2x - 8 ← equation of line

56

step-by-step explanation: