Question

Write the point-slope (y - k = m(x - h)) form of the equation from the information given.

1. Slope = ½; (h, k) = (1, -2)

Can someone please show me how to do this?

Answer 1

so you know that m is the slope, so that part's easy
then since h comes first before k in the ordered pair, you know that h is 1 and k is -2
so you plug those numbers into the equation.
What do you get?

Answer 2

also (h,k) is a point which exists on the line given by the equation you get
(just so you know what's going on)

Answer 3

-1? @trantom

Answer 4

you're writing the whole equation right?

Answer 5

ummm I guess so

Answer 6

I'm sorry i'm not good at math

Answer 7

its ok

Answer 8

just replace the letters m, k, and h with their values

Answer 9

m is the slope, and it says that slope=1/2 so you would replace m with 1/2

Answer 10

it says (h,k) = (1,-2) so you would replace h with 1 and replace k with -2

Answer 11

yes sir/ ma'am, would I subtract like this~ 1-2?

Answer 12

no those are separate values, the negative two and the positive 1
also I'm a guy xD

Answer 13

ok, haha so would it be -3? @trantom

Answer 14

this is just a point-slope equation, it doesn't have an "answer"

Answer 15

your answer would look like the y-k=m(x-h) but instead of k, m, and h you will have -2, 1/2 and 1

Answer 16

so for instance if you replace m, it would look like y-k=1/2(x-h)

Answer 17

ok umm if I show you an example from my lesson can you show me how to make it look like the example?

Answer 18

sure

Answer 19

Example 1: Find the equation of the line through the points (2, -1), (-4, 3)
First, find the slope as we did in lesson 11.
(y2 - y1)
(x2 - x1)
(3 - -1)
(-4 - 2)
(4)
(-6)
So our slope is -2/3

Next, pick one of the points (either one will do) to put into the equation y -k = m(x - h). Be sure to change the signs of the coordinates.

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

Answer 20

how do I make my answer look like that?

Answer 21

\[y-(-2)=\frac{ 1 }{ 2 }(x-1)\]

Answer 22

and since subtracting a negative is the same as adding, its really y+2

Answer 23

but see how I replaced each of those letters (m, h, and k) with their values?

Answer 24

remember m is the slope

Answer 25

yes sir, but this is kind of confusing :/

Answer 26

do you have math tomorrow at school?

Answer 27

yes sir

Answer 28

ok you might want to ask your math teacher or maybe a friend at school, I think an online chat can only go so far you know

Answer 29

I'll try one more thing

Answer 30

So the equation is y+2=1/2(x-1)?

Answer 31

yep!

Answer 32

wow. I'm really slow... thank you soooo much for helping me!!!

Answer 33

no problem :)