Question

Determine the coordinates of the x-intercept of 3x – 4y = 24.

Answer 1

the x intercept is whre the line crosses the x axis or where y=0

so set y to 0 and solve for the value of x that makes the equation true

3x-4(0)=24
3x-0=24
3x=24
divide both sides by 3
x=8

x=8
y=0

(x,y)
(8,0)
the point is (8,0)

Answer 2

The definition of an x intercept is when y equals 0. If y were to equal 0, you would have 3x -4(0)= 24, which is equal to 3x - 0 = 24. Using the addition property of equality, you would add 0 to both sides, and get 3x = 24. Finally, using the division property of equality, you have x = 8. So the coordinates of the x intercept would be (8,0), as your y was defined as 0. Hope this helps. Let me know if you have any questions about my explanation and feel free to ask more questions.