Question

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

1/4x-2/3y=1

Answer 1

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

Explanation:

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]}