Graph the linear function by plotting the x- and y-intercepts.
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Question

Quizplus · Accepted Answer

The given function has x and y intercepts. To plot a graph, we need to find the x-intercept and y-intercept.

To find the x-intercept, we set y = 0 and solve for x:
y = -6x + 30
0 = -6x + 30
6x = 30
x = 5

So, the x-intercept is (5,0).

To find the y-intercept, we set x = 0 and solve for y:
y = -6x + 30
y = -6(0) + 30
y = 30

So, the y-intercept is (0,30).

Therefore, we can plot the x-intercept (5,0) and y-intercept (0,30) on the coordinate plane and draw a straight line passing through both points. The graph of the function is shown in option B. The x-intercept is where the graph crosses the x-axis, so y = 0. This can be found by setting y to 0 in the equation y = -2x + 6 and solving for x: 0 = -2x + 6, x = 3. Therefore, the x-intercept is (3,0).
The y-intercept is where the graph crosses the y-axis, so x = 0. This can be found by setting x to 0 in the equation y = -2x + 6 and solving for y: y = -2(0) + 6, y = 6. Therefore, the y-intercept is (0,6).
Plotting these points and connecting them with a straight line will give the graph of the linear function. Only option B has the correct intercepts plotted.

Graph the Linear Function by Plotting the X- and Y-Intercepts