Answer:
y +3 = 5(x +2)
Explanation:
You want the equation of a line with slope 5 through the point (-2, -3).
Point-slope form
The point-slope form of the equation for a line is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Application
y +3 = 5(x +2) . . . . . . line with slope 5 through point (-2, -3)
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Additional comment
This can also be written as ...
y = 5x +7 . . . . . . . . . subtract 3 and simplify
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