Use the image to answer the question.

Question

A coordinate plane shows two intersecting lines. The solid line slopes upward from left to right. The dotted line slopes downward from left to right. The lines intersect at the same x-intercept at left parenthesis negative 5 comma 0 right parenthesis. The solid line starts at left parenthesis negative 10 comma negative 10 right parenthesis and has an x-intercept at left parenthesis negative 5 comma 0 right parenthesis and a y-intercept at left parenthesis 0 comma 10 right parenthesis. The dotted line starts at left parenthesis negative 10 comma 5 right parenthesis and has an x-intercept at left parenthesis negative 5 comma 0 right parenthesis and a y-intercept at left parenthesis 0 comma negative 5 right parenthesis. On the coordinate plane, both axes range from negative 10 to 10.

Identify the true statement related to the graph of the linear additive relationships shown. Enter the number of the correct response.

1) The x
-intercepts are the same.

2) The y
-intercepts are the same.

3) The slope of both lines is the same.

4) The slopes are negative reciprocals.

(1 point)

Answer 1

The correct response is:

1. The x-intercepts are the same.

Both lines intersect the x-axis at the point (−5, 0), which means they have the same x-intercept.