Question

Find the equation of a straight line perpendicular to the line y is equal to 4/3 x - 7 passingthrough the point. ( 7- 1)

Answer 1

Answer:

y+1=-3/4(x-7)

Step-by-step explanation:

First we know the slope of the line perpendicular to the original line has to be -3/4, because -3/4 is the opposite reciprocal of 4/3 (for example the negative reciprocal of x/2 is -2/x). Then since we have a point that the line goes through, point slope is the best formula. Point slope formula is y-y1=m(x-x1), with y1 and x1 being the y and x coordinates of the point, and m being the slope. So for the point (7,-1) and with a slope of -3/4 we get the formula y+1=-3/4(x-7).