Find the x– and y–intercepts of the line: 3x + 4y = –24. A. 3, 4 B. 8, 6 C. –8, –6 D. –3, –4

Answer 1

So, when a line passes through the x-axis, the point of intersection has a y value = 0 and the x-value is known as the x-intercept. The same is true for a line passing through the vertical (y) axis, where the point of intersection has an x-value = 0 and the y-value is known as the y-intercept.

Therefore, if you solve the given equation (3x + 4y = -24) using y = 0 you will find your x-intercept.

It follows then that if you solve the given equation using x = 0 you will find your y-intercept.

For y = 0:

3x + 4(0) = -24

x = -8

For x = 0:

3(0) + 4y = -24

y = -6

Hope this helps,

Todd