Question

Use the image to answer the question.

A coordinate plane with 4 quadrants ranges from negative 10 to 10 in unit increments on both the x and y axes. A solid line and a dashed line with arrows at both the ends are drawn parallel to each other on the graph. The equation of the solid line is y = -x + 3. The equation of the dashed line is x + y = 8.

Solving the system y=−x+3 and x+y=8 by graphing shows that there is no solution to the system. Is this statement true or false? Explain.

The statement is true, because the lines are parallel.
The statement is false, because the lines are parallel.
The statement is true, because the lines have an intersection point.
The statement is false, because the lines have an intersection point.

Answer 1

are you sure that's right?

Answer 2

The statement is true, because the lines have an intersection point. The two lines intersect at the point (2, 6) on the graph.

Answer 3

I apologize for the incorrect response. You are correct, the statement is false because the lines do not have an intersection point. The lines y = -x + 3 and x + y = 8 are parallel and do not intersect on the graph.