in the xy-plane with coordinates (0, -5) and (6, -2) lie on line L. Line P contains the point with coordinates (-5,0) and is perpendicular to line L. What is the x-coordinate of the point where lines L and P intersect

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Find equation of line L first by finding its slope. Write it in y = mx + b (slope intercept form.

would it be y=1/2x-5 ?

Sounds good to me. :) Excellent.
Now, let us find the slope of the line perpendicular to this line.

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