Question

Wich graph of the equation y-1=2/3(x-3)?

Answer 1

The graph in the attached figure

Explanation:

we have

`y-1=(2)/(3)(x-3)`

This is the equation of the line into point slope form

The slope is m=2/3

The point is (3.1)

To easily identify the graph look for the intercepts of the line

The y-intercept is the value of y when the value of x is equal to zero

For x=0

`y-1=(2)/(3)(0-3)`

`y=-2+1=-1`

The y-intercept is the point (0,-1)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

`0-1=(2)/(3)(x-3)`

`-3=2x-6`

`2x=3`

`x=1.5`

The x-intercept is the point (1.5,0)

Plot the intercepts and join the points to identify the graph

using a graphing tool

The graph in the attached figure