Question

Graph $g(x) = -3x + 9$ and identify its x-intercept. (0, 3) (0, 9) (3, 0) (9, 0)

A) (0, 3)
B) (0, 9)
C) (3, 0)
D) (9, 0)

Answer 1

To find the x-intercept of the graph $g(x) = -3x + 9$, we can use the slope of the line and the y-intercept. The x-intercept is (3, 0).

Step-by-step explanation:

To graph the equation $g(x) = -3x + 9$, we can start by plotting the y-intercept, which is the point where the line intersects the y-axis. In this case, the y-intercept is (0, 9). From there, we can use the slope of the line to find additional points. The slope of the line is -3, which means that for every increase of 1 on the horizontal axis, there is a decrease of 3 on the vertical axis. This means that to find the x-intercept, we can take the y-intercept and move 3 units down and 1 unit to the right. Doing this, we find that the x-intercept is (3, 0).