How do you graph this relation by using the x Intercept and y intercept?

Question

1/4x-2/3y=1

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Answer 1 · 2018-04-18T20:18:07

Find each intercept then draw a line that passes through both. X and Y intercepts are (4,0) and (0,-1.5) respectively.

Find the intercepts by plugging in y=0 to get the x-intercept and x=0 to get the y-intercept:

X-Intercept:

#1/4x-2/3y=1#

#1/4x-2/3(0)=1 rArr 1/4x=1#

#4*1/4x=4*1 rArr x=4#

#color(blue)("X-Intercept"=(4,0)#

Y-Intercept:

#1/4x-2/3y=1#

#1/4(0)-2/3y=1 rArr -2/3y=1#

#-3/2*-2/3y=-3/2*1 rArr y=-3/2=-1.5#

#color(purple)("Y-Intercept"=(0,-1.5)#

Plot both points and then using a straight-edge, draw a line that passes through both points!

graph{1/4x-2/3y=1 [-5, 10, -5, 2]}