Answer:
[tex]y = 2x + 33[/tex]
Step-by-step explanation:
The equation of the line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope of the line.
We want the equation of a line:
That has slope 2, so [tex]m = 2[/tex]
[tex]y = 2x + b[/tex]
Also that goes through the point (-9, 15). This means that [tex]x = -9, y = 15[/tex]. So
[tex]15 = 2(-9) + b[/tex]
[tex]15 = -18 + b[/tex]
[tex]b = 33[/tex]
The equation of the line is:
[tex]y = 2x + 33[/tex]
