Question

Choose the graph of this equation.

y=−32x−2

A graph of a diagonal line on a coordinate plane going down and to the right. The line passes through the points zero comma zero and 2 comma negative 3. A graph of a diagonal line on a coordinate plane going up and to the right. The line passes through the points zero comma negative 2 and 3 comma 2. A graph of a diagonal line on a coordinate plane going down and to the right. The line passes through the points zero comma negative 2 and 2 comma negative 5. A graph of a diagonal line on a coordinate plane going down and to the right. The line passes through the points zero comma negative 2 and 3 comma negative 4.

Answer 1

The correct choice is the third option.

Reason: y = −(3/2)x − 2 has y-intercept (0, −2) and slope −3/2. Between the given choices, only the third line passes through (0, −2) and (2, −5) (since (−5 − (−2))/(2 − 0) = −3/2), so it matches the equation.