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

Question

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

Answer 1

the slope of the join of any two points is given by y2-y1/x2-x1
substituting the slope of the join of the two given points
=4-5/3-0=>-1/3
slope of all the lines which are perpendicular to this line segment will be given by the negative inverse of the slope of this line segment
so the answer is 3
(note:slope of all lines parallel to this will be the same as that of the given line segment and so -1/3)

Answer 2

The slope of the given line is the difference of the Y's over the difference of the X's. (5-4)/(0-3) = -1/3.

The slope of the line perpendicular to a given line is the opposite reciprocal of the slope which in this case is 3.

Answer 3

Find the slope of a line perpendicuar to the line through points (0, 5) amd (3, 4)

the y coordinates represent the rise

the x coordinates represent the run

x coordinates

X1 = 0
X2 = 3

y coordinates

Y1 = 5
Y2 = 4

slope Formula:

m = Y2 -Y1 / X2 - X1

Insert the x and y coordinates into the formula

m = 5 - 4/0 - 3

m = - 1/3

The answer is m = - 1/3

The solution set is {- 1/3}

Answer 4

to locate the slope of a perpendicular line, you in simple terms could desire to take the damaging inverse of the slope of the unique line. in this concern, the slope is calculated like so: (-4 - 5) / (-3 - 0) = -9 / -3 = 3 for this reason, the slope of a perpendicular line could equivalent -a million/3.