Question

What linear function represents the line given by the point slope equation y+7= 2/3(x+6)?

Answer 1

The graph of the line in the attached figure

Explanation:

we have

`y+7=(2)/(3)(x+6)`

This is the equation of a line into point slope form

The slope is
`m=(2)/(3)`

The line pass through the point (-6,-7)

To graph the line find the y-intercept

Remember that

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

so

For x=0

`y+7=(2)/(3)(0+6)`

`y+7=(2)/(3)(6)`

`y+7=4`

`y=4-7=-3`

The y-intercept is the point (0,-3)

with the point (-6,-7) and (0,-3) plot the line

see the attached figure