Answer:
The graph of the line in the attached figure
Step-by-step explanation:
we have
[tex]y+7=\frac{2}{3}(x+6)[/tex]
This is the equation of a line into point slope form
The slope is [tex]m=\frac{2}{3}[/tex]
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
[tex]y+7=\frac{2}{3}(0+6)[/tex]
[tex]y+7=\frac{2}{3}(6)[/tex]
[tex]y+7=4[/tex]
[tex]y=4-7=-3[/tex]
The y-intercept is the point (0,-3)
with the point (-6,-7) and (0,-3) plot the line
see the attached figure
