Answer:
[tex]y+13=5(x+2)[/tex]
Step-by-step explanation:
The correct question is
The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x -3. What is the point slope form of the equation for this line?
we have
[tex]y=5x-3[/tex]
This is the equation of the line in slope intercept form
where
the slope is [tex]m=5[/tex]
the y-intercept is [tex]b=-3[/tex]
Remember that
The equation of the line in point-slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=5[/tex]
[tex]point\ (-2,-13)[/tex]
substitute
[tex]y-(-13)=5(x-(-2))[/tex]
[tex]y+13=5(x+2)[/tex]
