Question

Find the x -intercept and the y-intercept of the graph of the equation.-x+2 y=-7Good evening I am having a hard time getting this math is there any way you can help me?

Answer 1

Answer:

• x-intercept =7

,

• y-intercept = -3.5

Explanation:

Given the linear equation

$-x+2y=-7$

x-intercept

The x-intercept is the value where the line crosses the x-axis.

We calculate this by setting y=0

$\begin{gathered} \text{When y=0} \\ -x+2y=-7 \\ -x+2(0)=-7 \\ -x=-7 \\ x=7 \end{gathered}$

The x-intercept is 7.

y-intercept

The y-intercept is the value where the line crosses the y-axis.

We calculate this by setting x=0

$\begin{gathered} \text{When x=0} \\ -x+2y=-7 \\ -0+2y=-7 \\ 2y=-7 \\ Divide\text{ both sides by 2} \\ \frac{2y}{2}=-\frac{7}{2} \\ y=-3.5 \end{gathered}$

The y-intercept is -3.5.