Question

Please help! I will mark as brainliest. <3

Answer 1

Answer:

$y = \frac{-11}{5} x -8$

Step-by-step explanation:

ok first we need to find the equation of the line.

we have two points (2,9) and (-9,4) so first we can find slope which is;

y2-y1/x2-x1

y2 is 9( higest y value is y2) and y1 = 4

x2= 2( counterpart of y2) and x1 = -9

so slope is (9-4)/(2--9) = 5/11 ( -- is +)

so the important thing to note here is that the slope of any perpendicular line is negative reciprocal of the slope of the orginal line.

so slope of the perpendicular line is -11/5.(you flip it and change the sign, if it was negative you change it to positive after flipping it)

so to find the equation of the line through (5,3) which is perpendicular to the other points;

y-3/x-5 = -11/5

y-3 = -11/5 x -11

$y = \frac{-11}{5} x -8$