How do you graph the equation #y=3/4x-5#?

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Answer 1 · 2017-09-04T16:19:21

See a solution process below:

First, solve for two points which solve the equation and plot these points:

First Point:

For #x = 0#

#y = (3/4 * 0) - 5#

#y =0 - 5#

#y = -5# or #(0, -5)#

Second Point:

For #x = 4#

#y = (3/4 * 4) - 5#

#y =3 - 5#

#y = -2# or #(4, -2)#

We can next graph the two points on the coordinate plane:

graph{(x^2+(y+5)^2-0.075)((x-4)^2+(y+2)^2-0.075)=0 [-15, 15, -7.5, 7.5]}

Now, we can draw a straight line through the two points to graph the line:

graph{(y-3/4x+5)(x^2+(y+5)^2-0.075)((x-4)^2+(y+2)^2-0.075)=0 [-15, 15, -7.5, 7.5]}