Answer:
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 = [tex]\frac{5-2}{1+3}[/tex] = [tex]\frac{3}{4}[/tex], thus
y = [tex]\frac{3}{4}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 3, 2), then
2 = - [tex]\frac{9}{4}[/tex] + c ⇒ c = [tex]\frac{17}{4}[/tex]
y = [tex]\frac{3}{4}[/tex] x + [tex]\frac{17}{4}[/tex] → C
