Question

Demonstrate how you can use the slope formula to write the point-slope form of an equation of a line.

Answer 1

do u know the slope formula and point slope form

Answer 2

no i don't

Answer 3

ok the slope formula is \[y2-y1/x2-x1\]

Answer 4

thats how u find m then u use m and plug it into the point slope

Answer 5

and point slope form is \[y-y1=m(x-x1)\]

Answer 6

hey so sorry i didn't respond, my computer crashed @Candy13106

Answer 7

its ok so u get the y1, x1, and m

Answer 8

yeah i think

Answer 9

ok

Answer 10

slope formula
\[m=\frac{y_2 - y_1}{x_2-x_1}\]

point- slope formula
\[(y_2 -y_1) = m (x_2-x_1)\]

to go from slope formula, to point-slope

multiply both sides of the slope formula by (x2-x1) in order to remove it from the denominator and get a from similar to point-slope

Answer 11

An equation of a line can be found from

(a) the slope and the y-intercept,

(b) the slope and any point on the line

or (c) any two points on the line.

Answer 12

do you want some examples?

Answer 13

that would be helpful

Answer 14

let's start with (a)

Answer 15

okay, the slope is what it changes by right?

Answer 16

like something decreases by 3 the slope would be 3?

Answer 17

yes

Answer 18

okay

Answer 19

but think of it as 3/1 = rise/run

Answer 20

also for "decreases" it would be -3/1

Answer 21

does that^ make sense?

Answer 22

yes that does thank you

Answer 23

have you seen this formula:

$$\Huge y=mx+b$$

Answer 24

yes

Answer 25

cool

any questions?

Answer 26

no i think i understand all this much bette enow, thank you!

Answer 27

Thanks for trying to understand :-)