Question

Create slope-intercept form with points that pass through (4,-7) and (-2,3)

Answer 1

Find the slope first, which would be 10/-6 or -5/3. Then what you want to do is plug it into slope intercept form. This would be: y+7=-5/3(x-4). Does that sound right?

Answer 2

Don't you just substitute the x and y? Shouldn't it be 7=-5/3(-4)

Answer 3

After it would be reduced into slope intercept form, this is what I got: y=-5/3x -1/3

Answer 4

I got a positive slope and positive b when i plugged in -2,3

Answer 5

Well?

Answer 6

Sorry, one second

Answer 7

Okay, how did you find the slope?

Answer 8

3-(-7)
over
-2-4

Answer 9

slope=(y2-y1)/(x2-x1)

Answer 10

That would equal 10/-6, correct?

Answer 11

Yes

Answer 12

which reduces to -5/3

Answer 13

Yup

Answer 14

Pick either of the two points to use our forumla to get it down to slope intercept form. The formula we will use is: y-y1=m(x-x1)

Answer 15

Oh what am i saying, i meant i got a positive b

Answer 16

Oh, okay, do you understand the process though?

Answer 17

Process of getting the slope or b?

Answer 18

for getting the entire equation. Let me show you my reasoning. Lets pick the points (4,-7). When we plug them into our equation we get y+7=-5/3(x-4). We need to reduce this now, so let us distribute the -5/3. This will get us our new equation of y+7=-5/3x+20/3. Correct so far? Now we need to get rid of the 7 on that side so lets subtract. In order to do that we need common denominatiors. So we will end up have 21-20/3. The final answer is y=-5/3x+1/3

Answer 19

Got my numbers mixed up before, but there it is =)

Answer 20

That's what I got, what I did was I picked (4,-7), substituted them for x and y, solved the equation to get b, and plugged it in to y=-5/6x+b to get y=-5/6x+1/3