Question

Plot the intercepts to graph the equation: 4x-2y=4

Answer 1

•x-intercept = 1

•y-intercept = -2

Step-by-step explanation:

Given the linear equation

`4x-2y=4`

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} \\ 4x-2y=4 \\ 4x-2(0)=4 \\ 4x-0=4 \\ 4x=4 \\ \text{Divide both sides by 4} \\ (4x)/(4)=(4)/(4) \\ x=1 \end{gathered}`

The x-intercept is 1.

We have the point (1, 0)

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} \\ 4x-2y=4 \\ 4(0)-2y=4 \\ -2y=4 \\ \text{Divide both sides by -2} \\ -(2y)/(-2)=(4)/(-2) \\ y=-2 \end{gathered}`

The y-intercept is -2.

We have the point (0, -2)

We then plot the points on the graph below: