How do you graph #y=-4x+3#?

1 Answer
Jun 1, 2018

Answer:

Refer to the explanation.

Explanation:

Graph:

#y=-4x+3#

Convert the equation in slope-intercept form to standard form, #Ax+By=C#, by adding #4x# to both sides.

#4x+y=3#

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

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

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

#4x+0=3#

#4x=3#

Divide both sides by #4#.

#x=3/4#

The point for the x-intercept is #(3/4,0)#.

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

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

#4(0)+y=3#

#0+y=3#

#y=3#

The point for the y-intercept is #(0,3)#.

Plot the x- and y-intercepts and draw a straight line through them.

graph{4x+y=3 [-10, 10, -5, 5]}