Look at these two lines.

Question

The graph shows a coordinate plane that goes from negative 10 to 6 in the horizontal direction and negative 8 to 8 in the vertical direction. The graph also shows two lines. Each line passes through ( negative 4 , 1 ). One line has positive slope. The other line has negative slope.
Is there an ordered pair that is a solution to the linear equations describing BOTH of these lines?

Answer 1

In the scenario described, two lines intersect at the point (−4, 1). This point is given as a point through which both lines pass, which means it satisfies the equations of both lines.

Therefore, (−4, 1) is indeed an ordered pair that is a solution to the linear equations describing both lines.

If both lines are expressed in slope-intercept form (y = mx + b), they will have different slopes (one positive and one negative) but will share the same y-intercept at the point (−4, 1). So, to answer your question: Yes, (−4, 1) is a solution to both linear equations.