Question

Use the intercept method to graph this equation: -4x + 2y = 8

a) What is the x-intercept(write as an ordered pair)?


b) What is the y-intercept(write as an ordered pair)?


c) Is the origin on the right or left side of the line?

Answer 1

$-4x + 2y = 8$

a) What is the x-intercept

$\begin{cases} -4x+2y=8\\ y=0 \end{cases}$ $=> -4x=8 =>x=-2\\=>x-intercept \, is \,A(-2,0).$

b) What is the y-intercept

$\begin{cases} -4x+2y=8\\ x=0 \end{cases}$ $=>2y=8=>y=4=>\\y-intercept \, is \, B(0,4).$

c) Is the origin on the right or left side of the line?

take a look at graph, origin is on the right side of the line.