Question

Someone mind helping me ?

Consider the line y=-3/5x+5

Find the equation of the line that is parallel to this line and passes through the point (−9, -6)

Find the equation of the line that is perpendicular to this line and passes through the point
(−9,-6).

Answer 1

We know parallel lines have the same slope, using the formula y-y1=m(x-x1) with (x1,y1) being the point given you can find the equation of your line.

Answer 2

Huh?

Answer 3

I'm a little confused...

Answer 4

OK, let's start with the A, B, C

Answer 5

Do you know what a slope is ?

Answer 6

Not really..

Answer 7

OK, here's an equation of a line in standard form
y = m * x + b
m is the slope and b is intercept.

Answer 8

Can you identify the slope in your equation ?

Answer 9

is it -3/5?

Answer 10

Yep !

Answer 11

so it's y=-3/5x times 5?

Answer 12

No that's it, slope here is m=-3/5 you got it. Now we need to find the equation of the line parallel to y=-3/5x+5 that passes through (-9,-6)

Answer 13

So how do we do that?

Answer 14

We know parallel lines have the same slope, so the the line we are looking for will also have a slope of -3/5, plus we know that it passes through the point (-9,-6).

Answer 15

There's a formula that helps find a line's equation using (slope+point) which is :
y-y1=m(x-x1)
y and x are the variables of the equation
m is the slope
(x1,y1) are the coordinates of the point which the line crosses

Answer 16

So what do I do ?

Answer 17

Plug in the values in the equation above.

Answer 18

I'm confused tho I know where -3/5 goes but where do (-9,-6) go?

Answer 19

Hint : (x1,y1) are the coordinates of the point which the line crosses

Answer 20

which the line passes through*

Answer 21

So it would be -9-(-6)=-3/5(x-x1)?

Answer 22

Not quite, x and y are variables of the equation. You only plug in x1 and y1.

Answer 23

so y-(-9)=-3/5(x-(-6)??

Answer 24

x1 is the x-coordinate of the point
y1 is the y-coordinate of the point

Answer 25

I'm confused.

Answer 26

The coordinates are always written as (x-coordinate, y-coordinate) in the Cartesian system.

Answer 27

I'm sorry but I have to go .Thanks for the help anyways.