Question

The equation of a line is −2x+5y=−20.What is the x-intercept of the line? Enter your answer in the box.

Answer 1

(10,0).

Step-by-step explanation:

Given the equation of the line:

`-2x+5y=-20`

The x-intercept of the line is the point where the line crosses the x-axis. This occurs when y=0.

When y=0

`\begin{gathered} -2x+5y=-20 \\ -2x+5(0)=-20 \\ -2x=-20 \\ \text{Divide both sides by -2} \\ (-2x)/(-2)=(-20)/(-2) \\ x=10 \end{gathered}`

The x-intercept of the line is (10,0).