Answer:
x-intercept = (-8, 0)
y-intercept = (0, -2)
Step-by-step explanation:
Given linear equation is: x + 4y = - 8
For x - intercept: Plug y = 0 in the above equation.
[tex]\implies x +4(0) = -8\\\\\implies x +0 =-8\\\\ \implies x = -8\\\\ \boxed{\red{\bold{\implies x- intercept = (-8,\:0)}}}[/tex]
For y - intercept: Plug x = 0 in the given linear equation.
[tex]\implies 0 +4y = -8\\\\\implies 4y=-8\\\\ \implies y = \frac{-8}{4}\\\\ \implies y = -2\\\\ \boxed{\purple{\bold{\implies y- intercept = (0,\:-2)}}}[/tex]
