Question

Which graph represents the solution to the given system?

y = –5x – 2
y + 2 = –5x
(1 point)
Responses

A coordinate plane with 2 linear equations graphed which are overlapping lines.
Image with alt text: A coordinate plane with 2 linear equations graphed which are overlapping lines.

A coordinate plane with 2 linear equations graphed which are parallel lines. Slope of the lines is negative 5.
Image with alt text: A coordinate plane with 2 linear equations graphed which are parallel lines. Slope of the lines is negative 5.

A coordinate plane with 2 linear equations graphed. Intersection of the lines is at (0, negative 2).The first line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 1 comma 4 right-parenthesis. The second line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis negative 1 comma 4 right-parenthesis. The coordinate left-parenthesis 0 comma negative 2 right-parenthesis is written below the coordinate plane.
Image with alt text: A coordinate plane with 2 linear equations graphed. Intersection of the lines is at (0, negative 2). The first line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 1 comma 4 right-parenthesis. The second line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis negative 1 comma 4 right-parenthesis. The coordinate left-parenthesis 0 comma negative 2 right-parenthesis is written below the coordinate plane.

A coordinate plane with 2 linear equations graphed. Intersection of the lines is at (0, 2).

Answer 1

The correct option is:

A coordinate plane with 2 linear equations graphed. Intersection of the lines is at (0, negative 2). The first line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis 1 comma 4 right-parenthesis. The second line passes through the points left-parenthesis 0 comma negative 2 right-parenthesis and left-parenthesis negative 1 comma 4 right-parenthesis. The coordinate left-parenthesis 0 comma negative 2 right-parenthesis is written below the coordinate plane.