Answer:
To find the x-intercept of the equation y = -4/3x - 3, we set y equal to zero and solve for x.
0 = -4/3x - 3
First, let's isolate the x term by adding 3 to both sides of the equation:
3 = -4/3x
Next, we can simplify the equation by multiplying both sides by -3/4:
-9/4 = x
Therefore, the x-intercept is -9/4.
To find the y-intercept, we set x equal to zero and solve for y.
y = -4/3(0) - 3
y = -3
Therefore, the y-intercept is -3.
To plot the graph, we can use the x-intercept (-9/4) and the y-intercept (-3) as reference points.
Start by marking the x-intercept (-9/4) on the x-axis. Then, mark the y-intercept (-3) on the y-axis.
Finally, connect the two points with a straight line.
The graph should look like a line that passes through the points (-9/4, 0) and (0, -3).