Question

Graph the line that has the given intercepts. \(x\) -intercept: \(-7\) \(y\) -intercept: 15

Short answer

The line passing through points (-7,0) and (0,15) represents the equation with the given intercepts.

Step-by-step solution

Understand the coordinates of intercepts

Intercepts are points where the line crosses the axes. The x-intercept is given as -7, which means the line crosses the x-axis at point (-7,0). Similarly, the y-intercept is given as 15, denoting that the line crosses the y-axis at point (0,15).

Plot the intercepts

On an x-y graph, plot the two points, (-7,0) and (0,15). The first number in each pair is the x-coordinate and the second number is the y-coordinate. So, the point (-7,0) is 7 units to the left of the origin (0,0) on the x-axis, and the point (0,15) is 15 units above the origin on the y-axis.

Draw the line

After the points have been plotted, draw a straight line that goes through both of these points. This line represents the equation with the given intercepts.