Question

Find the x and y intercepts of the graph of the linear equation -x+8y=4 The x intercept is ___ (i got this one its -4)The y intercept is ___

Answer 1

To find the x-intercept, make y = 0 and solve for x:

$\begin{gathered} -x+8y=4 \\ \rightarrow-x=4 \\ \Rightarrow x=-4 \end{gathered}$

To find the y-intercept, make x = 0 and solve for y:

$\begin{gathered} -x+8y=4 \\ \rightarrow0+8y=4 \\ \rightarrow y=\frac{4}{8} \\ \Rightarrow y=\frac{1}{2} \end{gathered}$

This way, we get that:

The x intercept is -4

The y intercept is 0.5