How do you graph y-2=2/3(x-4)?

1 Answer
Meave60
Jun 28, 2017

See the explanation below.

Explanation:

Graph:

y-2=2/3(x-4)

The easiest way to find points on the line is to convert the given equation in point slope form to slope intercept form: y=mx+b, where m is the slope, and b is the y-intercept. In order to do this, solve the point slope equation for y.

y-2=2/3(x-4)

Add 2 to both sides.

y=2/3(x-4)+2

Simplify 2/3(x-4) to (2(x-4))/3.

y=(2(x-4))/3+2

Expand.

y=(2x)/3-8/3+2

Simplify.

y=2/3x-8/3+2

Multiply 2 by 3/3 to get the same denominator as -8/3.

y=2/3x-8/3+2xx3/3

Simplify.

y=2/3x-8/3-6/3

y=2/3x-2/3

Determine two or three points on the line by choosing values for x and solving for y.

"Points"

x=-2,y=-2

x=0,y=-2/3

x=1,y=0

Plot the points and draw a straight line through them.

graph{y=2/3(x-4)+2 [-12.66, 12.65, -6.33, 6.33]}

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