Question

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

Answer 1

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 = $\frac{5-2}{1+3}$ = $\frac{3}{4}$, thus

y = $\frac{3}{4}$ x + c ← is the partial equation

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

Using (- 3, 2), then

2 = - $\frac{9}{4}$ + c ⇒ c = $\frac{17}{4}$

y = $\frac{3}{4}$ x + $\frac{17}{4}$ → C