What is the slope-intercept form of the equation of the line that passes through the points (−3, 2) and (1, 5) ?

y=3/4x+72

y=3/4x−92

y=3/4x+17/4

y=3/4x−74

the answer is c: y= 3/4x+17/4

C

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (1, 5)

m = = , thus

y = x + c ← is the partial equation

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

Using (- 3, 2), then

2 = - + c ⇒ c =

y = x + → C

step-by-step explanation: