Question

Find the x-intercept and y-intercept

from the following linear equation:

X + 4y = -56
x - intercept ()
y - intercept ()

Answer 1

x-intercept: (-56, 0)

y-intercept: (0, -14)

Explanation:

The x-intercept is the point at which the line crosses the x-axis, so when y=0. To find the x-intercept, substitute y=0 into the given equation:

`\begin{aligned}y=0\implies x+4(0)&=-56\\x+0&=-56\\x&=-56\end{aligned}`

Therefore, the x-intercept of the given linear equation is:

• (-56, 0)

The y-intercept is the point at which the line crosses the y-axis, so when x=0. To find the y-intercept, substitute x=0 into the given equation:

`\begin{aligned}x=0\implies 0+4y&=-56\\4y&=-56\\y&=(-56)/(4)\\y&=-14\end{aligned}`

Therefore, the y-intercept of the given linear equation is:

• (0, -14)