Question

X+4Y=-8
find the x intercept:
find the y intercept:
graph the line.

Answer 1

x-intercept = (-8, 0)

y-intercept = (0, -2)

Explanation:

Given linear equation is: x + 4y = - 8

For x - intercept: Plug y = 0 in the above equation.

`\implies x +4(0) = -8\\\\\implies x +0 =-8\\\\ \implies x = -8\\\\ \boxed{\red{\bold{\implies x- intercept = (-8,\:0)}}}`

For y - intercept: Plug x = 0 in the given linear equation.

`\implies 0 +4y = -8\\\\\implies 4y=-8\\\\ \implies y = (-8)/(4)\\\\ \implies y = -2\\\\ \boxed{\purple{\bold{\implies y- intercept = (0,\:-2)}}}`