Question

Geometry:Graphing:Finding the slope, parallel slope and perpendicular slope to the given line.PLEASE HELP?
A. What is the slope of the given line?

B. What is the slope of the line perpendicular to the given line?

C. What is the slope of the line that is parallel to the given line?

D. Find the equation of the line that is perpendicular to the given line and passes through the point (-1, 2).

E. What is the y-intercept of the equation from part (D)?

F. Find the equation of the line that is parallel to the given line and passes through the point (0, -6).

G. What is the x-
(image below)

Answer 1

To find the slope, find two convenient points on the line. Here the two points are where it cuts the y and x axes. Where does it cut the y and x axes?

Answer 2

(2,6)

Answer 3

Not (2, 6). It cuts the y axis at y = 6. On y axis, x = 0. So the point is (0,6)
It cuts the x axis at x = 2. On x axis, y = 0. So the point is (2, 0)
So the two points are: (0,6) and (2,0)
Slope = (y2 - y1)/(x2-x1) = (0-6)/(2-0) = -6/2 = -3

Answer 4

A) Slope m = -3
B) Perpendicular line will have the slope that is a negative reciprocal of this slope.
That is, -1/m. So if m = -3 what is -1/m ?

Answer 5

3?

Answer 6

m = -3. -1/m = -1/(-3) = +1/3
B) Slope of the perpendicular line is 1/3.

Answer 7

C) Parallel lines will have the SAME slope.
So if the slope of the line is -1/3 what will be the slope of any parallel line?

Answer 8

Any line parallel to any given line is the same as the given line right?

so the slope of the given line = - 3?