a line on the coordinate plane passes through the points (7,-5)and (3,11) A line that is perpendicular to the first line passes through the points (-3,-9) and (5,n). find the value of n

Question

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a line on the coordinate plane passes through the points (7,-5)and (3,11) A line that is perpendicular to the first line passes through the points (-3,-9) and (5,n). find the value of n

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please shwo wrok and help me as soon as you can

Answer 1

If we could find the equation of the line that is perpendicular to the original line, then we could plug 5 in for x to find the corresponding y value ("n" in this problem).

First find the slope of the original line. The line perpendicular will have a slope that is the negative/opposite reciprocal.

Then use that slope along with (-3,-9) to write the equation of that line (point-slope).

https://www.desmos.com/calculator/r8nn6wxhb5

The above graph shows the equations, but you might want to try and work out the problem based on the above suggestions BEFORE looking at the graph :).