Question

Graph the two lines in the same coordinate plane. Then find the coordinates of the point at which the lines cross. \(y=-1, x=0\)

Short answer

The lines \(y=-1\) and \(x=0\) intersect at the point (0, -1).

Step-by-step solution

Understanding the equations

The given equations are \(y=-1\) and \(x=0\). The first equation, \(y=-1\), is a horizontal line that passes through the point (0, -1). The second equation, \(x=0\), is a vertical line that passes through the origin (0, 0).

Point of intersection

The point of intersection is where the x-coordinate of the first line equals the x-coordinate of the second line and the y-coordinate of the first line equals the y-coordinate of the second line (where the lines cross). As the point (0, -1) is on the line \(y=-1\) and (0, 0) is on the line \(x=0\), it is clear that these lines intersect at (0, -1). This is because the vertical line \(x=0\) crosses the horizontal line \(y=-1\) at the point where y is -1.

Graphing the lines

Both the lines can be drawn on the same coordinate plane to visually confirm the point of intersection. Draw a horizontal line at \(y=-1\) and a vertical line at \(x=0\). The point where these lines cross is the solution, which is (0, -1).