Question

Use the image to answer the question.

Two lines marked line X and line W are drawn on a coordinate plane. Both axes range from negative 10 to 10 in unit increments. Line X is dotted and passes through left parenthesis negative 3 comma 9 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 3 comma negative 9 right parenthesis. Line W is solid and passes through left parenthesis negative 10 comma negative 10 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 10 comma 10 right parenthesis.

How does the graph show the change from Line W to Line X ?

(1 point)

The slope is changed by a factor of 3.

There is a slope change from positive to negative and no factor change.

There is a slope change from negative to positive and by a factor of 3.

There is a slope change from positive to negative and by a factor of 3.

Answer 1

Line W has slope 1 (rise 10/run 10), and Line X has slope -3 (rise -9/run 3). So the slope changes from positive to negative and its magnitude is multiplied by 3 — option 4.