Question

Consider the line
5x+2y=−7
.
What is the slope of a line parallel to this line?

What is the slope of a line perpendicular to this line?

Answer 1

@triciaal @texaschic101 @ganeshie8 @Walkerman15 @happycam31 @yoitsren

Answer 2

@dejmccray @eighthourlunch @godinez1243 @undeadknight26 @poopsiedoodle

Answer 3

Have you solved for y yet?

Answer 4

i don't know if i'm right but for my i got 2y=-5x-7

Answer 5

i divide by 2 and got y=-5/2x-3.5

Answer 6

you need to put the equation in y = mx + b form. The slope is in the m position.
A parallel line wil have the same slope and a perpendicular line will have the negative reciprocal slope.

Answer 7

i already have a negative slope which is -5/2

Answer 8

so if it perppendicular the slope is postive

Answer 9

5x + 2y = -7 --- subtract 5x from both sides
2y = -5x - 7 -- divide both sides by 2
y = -5/2x - 7/2

your correct...-5/2 is your slope.

Therefore, your parallel line will have -5/2 as the slope also.

A perpendicular line will have a negative reciprocal slope. All that means is flip " the slope and change the sign. o the perpendicular slope is 2/5 (see how I flipped the slope and changed the sign)

any questions ?

Answer 10

2/5

Answer 11

can you help me find the parallel slope

Answer 12

the parallel sloe will be the same slope as in the original equation. Simply because parallel lines have the same slope

Answer 13

oops..typo...slope

Answer 14

is it -5/2

Answer 15

parallel slope = -5/2
perpendicular slope = 2/5

Answer 16

thank you @texaschic101

Answer 17

not a problem...glad to help :)