Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
The point-slope form of an equation:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
We have the equation of a line:
[tex]y=5x-3[/tex]
therefore the slope m = 5.
Put the value of the slope and the coordinates of the given point (-2, -13) to the equation of a line:
[tex]y-(-13)=5(x-(-2))\\\\y+13=5(x+2)[/tex]
