Find the y-intercept and x-intercept of the line.

Question

6x+4y=-24

Answer 1

To find the y-intercept, let x = 0 and solve for y:

6(0) + 4y = -24
4y = -24
y = -6

Therefore, the y-intercept is at the point (0, -6).

To find the x-intercept, let y = 0 and solve for x:

6x + 4(0) = -24
6x = -24
x = -4

Therefore, the x-intercept is at the point (-4, 0).

Answer 2

or, more simply, convert to the intercept form by dividing by -24
6x+4y=-24
x/-4 + y/-6 = 1
so the intercepts are (-4,0) and (0,-6)

Answer 3

Yes, that is a more straightforward way to find the intercepts by converting the equation to the intercept form. Thank you for pointing that out. The x-intercept is at (-4, 0) and the y-intercept is at (0, -6).