Answer:
x-intercept is (40/3, 0); y-intercept is (0, -10)
Step-by-step explanation:
We need to find the slope-intercept of 3x-4y=40 to find the y-intercept.
To do this, solve 3x-4y=40 for 4y and then solve the result for y:
3x - 40 = 4y and
3x-40
y = ----------- = (3/4)x - 10
4
Comparing this to the basic y = mx + b tells us that the y-intercept is (0, -10).
Recall that the x-intercept is found by setting y = 0: 3x - 4y = 40 becomes
3x = 40, or x = 40/3. The x-intercept is (40/3, 0)
