Question

Match the equation with its intercepts.

22. 7y= 28 - 4x
A. x-intercept: 4
y-intercept: -7
23. 7x = 4y + 28
B. x-intercept: -4
y-intercept: 7
24. 4y= 7x + 28
C. x-intercept: 7
y-intercept: 4

Answer 1

To find the x-intercept, set y=0 and solve for x. To find the y-intercept, set x=0 and solve for y. The equation 7y=28-4x corresponds to match A, with x-intercept: 4 and y-intercept: -7.

Step-by-step explanation:

To find the x-intercept, we set y=0 and solve for x. Plugging in y=0 into the equation 7y=28-4x, we get 7(0)=28-4x, which simplifies to 0=28-4x. Solving for x, we get x=7, so the x-intercept is 7.

To find the y-intercept, we set x=0 and solve for y. Plugging in x=0 into the equation 7y=28-4x, we get 7y=28-4(0), which simplifies to 7y=28. Solving for y, we get y=4, so the y-intercept is 4.

Therefore, the equation 7y=28-4x corresponds to match A, with x-intercept: 4 and y-intercept: -7.

Learn more about Intercepts in linear equations