Question

Find the x-intercept & y-intercept of the equation 4x Зу = - 36. x-intercept = y-intercept =​

Answer 1

x-intercept = (-9, 0)

y-intercept = (0, 12)

Explanation:

Given the following linear equation in standard form: 4x + Зу = - 36

The x-intercept is the point (a, 0) on the graph of the linear equation where it crosses the x-axis. It is also the value of x when y = 0. The x-intercept occurs at x = C/A (for the standard form, Ax + By = C).

To find the x-interincept, set y = 0:

4x + Зу = - 36

4x + 3(0) = -36

4x+ 0 = -36

4x = -36

Divide both sides by 4:

`(4x)/(4) = (-36)/(4)`

x = -9

Therefore, the x-intercept is (-9, 0).

Likewise, to solve for the y-intercept, substitute its values by setting x = 0:

4x + Зу = - 36

4(0) + Зу = - 36

0 + 3y = -36

`(-3y)/(-3) = (-36)/(-3)`

y = 12

Therefore, the y-intercept of the graph is (0, 12).