Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4)?

Question

Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4)

Answer 1

First: (the "m" variable represents the slope) substitute/replace the points in the slope formula which, is...

m = [second y - first y]/[second x - first x]



m = [- 4 - 5]/[- 3 - 0]

m = [- 9]/[- 3]

m = 9/3

m = 3



Sec: a line with a perpendicular slope...has the opposite slope (reciprocal)...which is, -1/3



perpendicular slope = -1/3

Answer 2

To find the slope of a perpendicular line, you just need to take the negative inverse of the slope of the original line. In this problem, the slope is calculated like so:



(-4 - 5) / (-3 - 0) = -9 / -3 = 3



therefore, the slope of a perpendicular line would equal

-1/3.

Answer 3

The slope of perpendicular lines are unfavorable reciprocals of one yet another. So, if line one has a slope of +a million/2, the line perpendicular to it could have a slope of -2/a million. to locate the slope of two factors, we use the formula (y2-y1)/(x2-x1). permit's make T(4,-3) factor one and U(5,0) factor 2: 0-(-3) ------- 5-4 we've got: +3/a million. The unfavorable reciprocal of which would be -a million/3, so B is your answer :) i'm hoping I helped! Take care and happy Easter!

Answer 4

slope of given line = (-4-5)/(-3-0) = 3

so required slope of perpendicular = -1/3

Answer 5

gradient of line joining (0,5) and (-3,-4) = 5-(-4)/0-(-3) = 3



since the product of the gradients of perpendicular lines is always -1,

gradient of perpendicular line = -1/3

Answer 6

m = (- 4 - 5) / (- 3 - 0)

m = (- 9) / (-3)

m = 3

Slope of perpendicular = (-1/3)