Question

determine whether the lines are parallel, perpendicular or neither.
1. One line passes through the points (-1, 4) and (2, 6); another line passes through the points (2, -3) and (8, 1).
2. One line passes through the points (4, -3) and (-8, 0); another line passes through the points (-1, -1) and (-2, 6).
3. One line passes through the points (-3, 14) and (1, -2); another line passes through the points (0, -3) and (-2, 5).

Answer 1

Ok to do this problem you would first use slope intercept form to write the equation for each line

Answer 2

do you know how to calculate slope?

Answer 3

no i dont

Answer 4

slope is the measure of the constant change in a linear equation
you can find slope when you are given 2 points
(x1,y1) and ((x2,y2) you calculate slope by using formula y2-y1
-----
x2-x1

Answer 5

Gosh why do you guys have to talk so nerdy lol

Answer 6

All slope is is change in your y coordinate/change in x coordinate

Answer 7

find slopes of each 2 lines in each question
if the slopes are same then they are parallel
if the slopes are opposite reciprocals (ex. slope=1 slope=-1/2) they are perpendicular.

Answer 8

So if you plot your points on a graph for the first one

Answer 9

you have to talk nerdy the first time cause she doesnt know what slope is at all

Answer 10

you see that y varies from 4 to 6. So chance in y is 2

Answer 11

x varies from -1->2 so the change in x is 3

Answer 12

therefore the slope is 2/3

Answer 13

Ok and then use the equation y-y1=m(x-x1)

Answer 14

here you replace (x1,y1) with any one of the points. In this case I will use (-1,4)

Answer 15

and the calculated slope of 2/3 in place of m

Answer 16

arriving at y-4=2/3(x+1)

Answer 17

Let me know if you need any more help