Respuesta :

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]

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