Question

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

Answer 1

Answer:

The graph of the line in the attached figure

Step-by-step explanation:

we have

$y+7=\frac{2}{3}(x+6)$

This is the equation of a line into point slope form

The slope is $m=\frac{2}{3}$

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

$y+7=\frac{2}{3}(0+6)$

$y+7=\frac{2}{3}(6)$

$y+7=4$

$y=4-7=-3$

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

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

see the attached figure