Answer:
x-intercept = (-9, 0)
y-intercept = (0, 12)
Step-by-step 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:
[tex]\frac{4x}{4} = \frac{-36}{4}[/tex]
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
[tex]\frac{-3y}{-3} = \frac{-36}{-3}[/tex]
y = 12
Therefore, the y-intercept of the graph is (0, 12).
