How do you graph #-4x+y=2#?

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Answer 1 · 2017-07-15T03:43:49

Refer to the explanation.

Graph:

#-4x+y=2#

You need to determine two points on the line. The easiest way is to determine the x- and y-intercepts.

X-Intercept: the value of #x# when #y=0#

#-4x+0=2#

#-4x=2#

Divide both sides by #-4#.

#x=-2/4#

Simplify.

#x=-1/2#

Point: #(-1/2,0)#

Y-Intercept: value of #y# when #x=0#

#-4(0)+y=2#

#y=2#

Point: #(0,2)#

Plot the two points and draw a straight line through them.

graph{-4x+y=2 [-14.58, 9.26, -4.22, 7.7]}