Question

A line is graphed in the xy-plane shown at left. Which of the following is an equation of the line?

Answer 1

Answer:

C

Step-by-step explanation:

The equation of a line passing through the origin is

y = mx ( m is the slope )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = $\frac{-3-3}{2+2}$ = $\frac{-6}{4}$ = - $\frac{3}{2}$, thus

y = - $\frac{3}{2}$ x → C

Answer 2

Answer:

c

Step-by-step explanation: