How do you graph #3x-y=5# on a coordinate plane?

1 Answer
Jun 22, 2018

Answer:

Refer to the explanation.

Explanation:

Graph:

#3x-y=5#

This is the standard form for a linear equation: #Ax+By=C#

You only need two points to graph a straight line; the x- and y-intercepts.

X-intercept: value of #x# when #y=0#

Substitute #0# for #y# and solve for #x#.

#3x-0=5#

#3x=5#

Divide both sides by #3#.

#x=5/3#

Point: #(5/3,0)# or #(~~1.667,0)#

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

Substitute #0# for #x# and solve for #y#.

#3(0)-y=5#

#-y=5#

Multiply both sides by #-1#.

#y=-5#

Point: #(0,-5)#

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

graph{3x-y=5 [-10, 10, -7.2, 2.8]}