Write an equation in point-slope form for the line that passes through one of the following pairs of points (you may choose the pair you want to work with). Then, use the same set of points to write the equation in standard form and again in slope-intercept form. (5, 1), (–3, 4)

- anonymous

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- karatechopper

Ok. Well lets start by asking you this, do you know how to find the slope between two points?

- anonymous

No not exactly..

- anonymous

ok first off we need to use y2-y1/x2-x1 and its easy to figure out using it

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- anonymous

Ok. Thanks, I'll try to figure this out.

- anonymous

and that formula is used to find out the slope

- anonymous

This one will be a negative slope as well.

- anonymous

point slope form is y-y1=m(x-x1) but we have to figure out the slope intercept form first for this one

- anonymous

and then when you got both of these 2 then its easy to figure out standard form

- anonymous

would the fraction be 2/5?

- anonymous

let me check

- anonymous

umm no its going to be -3/8

- anonymous

How did you solve that?

- anonymous

using y2-y1/x2-x1

- anonymous

Ok, I got it now.

- anonymous

So now what?

- anonymous

now we have the slope we figure out slope intercept form and you have to use graph paper for that

- anonymous

plot both points and run a line through them

- anonymous

and slope-intercept form is y=mx+b where m is the slope and b is the y intercept

- anonymous

Can you help me out with that please?(:

- anonymous

use graph paper and see what you get :)

- anonymous

How do I graph it?

- anonymous

ok take a peice of graph paper and make a large "+" in it and number the lines with 1's or 2's

- anonymous

Ok

- anonymous

but if number it with 1's you have to go like this 1,2,3,4,5 and so on and with 2's: 2,4,6,8 and so on

- anonymous

Got it

- anonymous

like this

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- anonymous

Ok I drew one.

- anonymous

now did you plot both points on the graph?

- anonymous

Yes

- anonymous

now go through the line until you see the line go through the "y" line

- anonymous

x is the horizontal line on the "+" and y is vertical line of the "+"

- anonymous

It passes through the Y line at 3.

- anonymous

yep

- anonymous

now you got your slope intercept form and point slope form: y=-3/8x+3 and y-1=-3/8(x-5)

- anonymous

now standard form is left

- anonymous

well i got to go i hope you can figure this out

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