I need help on this problem it goes...

write an equation of the line that passes through (6,-10) and is perpendicular to the line that passes (4,-6) and (3,-4).

need step by step help please thanks.

Your taxing my memory. You can find the eqn of a line passing through (4,-6) and (3,-4) using the 2 point form and find the slope.

A perpendicular line #1 to another line #2 has the ____ _____ of the slope of line #1. You can figure it out graphically. Hint: draw any line with a slope of 1/2. Then draw a perpendicular line. What's it's slope. What's the relationship?

Now you can use the 1st point and the massaged value of the slope to find the eqn.

You need to consider, in this order:

1. What is the slope of the line through (4 , -6) and (3 , - 4)?
2. What is the slope of any line perpendicular to that line?
3. Use your obtained slope from #2 and the given point (6 , -10) to write your equation.