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)

Question

karatechopper · Answer

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

anonymous · Answer

No not exactly..

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

and that formula is used to find out the slope

anonymous · Answer

This one will be a negative slope as well.

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

would the fraction be 2/5?

anonymous · Answer

let me check

anonymous · Answer

umm no its going to be -3/8

anonymous · Answer

How did you solve that?

anonymous · Answer

using y2-y1/x2-x1

anonymous · Answer

Ok, I got it now.

anonymous · Answer

So now what?

anonymous · Answer

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

anonymous · Answer

plot both points and run a line through them

anonymous · Answer

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

anonymous · Answer

Can you help me out with that please?(:

anonymous · Answer

use graph paper and see what you get :)

anonymous · Answer

How do I graph it?

anonymous · Answer

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

anonymous · Answer

Ok

anonymous · Answer

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 · Answer

Got it

anonymous · Answer

like this

anonymous · Answer

Ok I drew one.

anonymous · Answer

now did you plot both points on the graph?

anonymous · Answer

Yes

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

It passes through the Y line at 3.

anonymous · Answer

yep

anonymous · Answer

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

anonymous · Answer

now standard form is left

anonymous · Answer

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