Question

Determine the x- and y-intercepts of the graph ofx−4y=8Then plot the intercepts to graph the equation.

Answer 1

The x-intercept is the point where the graph cuts the x-axis, and the y-intercept is the point where the graph cuts the y-axis.

The x-axis is the line y = 0 and the y-axis is the line x = 0. To find the intercept between each axis and our graph, we just need to evaluate our function at x = 0 and y = 0.

Calculating the x-intercept, we have

`\begin{gathered} x-4\cdot0=8 \\ x=8 \end{gathered}`

The x-intercept is (8, 0).

Calculating the y-intercept, we have

`\begin{gathered} 0-4y=8 \\ y=-(8)/(4) \\ y=-2 \end{gathered}`

The y-intercept is (0, -2).