What equation in slope-intercept form represents the line that passes through the points (3,5) and (-9,2)

y = x +

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 )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 5) and (x₂, y₂ ) = (- 9, 2)

m = = =

y = x + c ← is the partial equation

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

using (3, 5), then

5 = + c ⇒ c = 5 - =

y = x + ← in slope- intercept form

9 x 8 divided by (5-3)=36