Question

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

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y-1=\frac{2}{3}(x-3)$

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

$y-1=\frac{2}{3}(0-3)$

$y=-2+1=-1$

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

$0-1=\frac{2}{3}(x-3)$

$-3=2x-6$

$2x=3$

$x=1.5$

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