Question

Which of the following is the point-slope equation of the line with a slope of 2/5 and a point of (-3/6)? Could someone explain this in depth for future problems?

Answer 1

Just to clarify, the point is (-3,6) right ?

Answer 2

Yes.

Answer 3

Okay point slope form is like this y – y1 = m(x – x1)
where m is the slope, x1 is the x coordinate and y1 is the y coordinate,
here we have the x1=-3, and y1=6, and m=2/5 to find the equation we plug these in to get y-6=2/5(x+3)
make sense?

Answer 4

Yes. It makes sense.

Answer 5

good!

Answer 6

So the thing is, do I get y by itself first, or do I distribute 5 into X and 3?

Answer 7

That is the equation in point-slope form, but if you wanted to simplify it more you would distribute 2/5 to the x and 3 then add 6

Answer 8

I have to simplify it into y=mx+b form.

Answer 9

Wait so it's y=2/5X+9?

Answer 10

Hmm, not quite when you distribute you have to multiply the 2/5 by x and 3
what is 2/5*x+2/5*3

Answer 11

1.2

Answer 12

So you have y-6=2/5x+1.2
now add 6

Answer 13

So I divide the (x+3) by 2/5? Then I add six? Are you sure...?

Answer 14

*Multiply the (x+3)

Answer 15

yes im sure

Answer 16

Do I add six to everything? INcluding the 2/5X?

Answer 17

I got y=6.4X+7.2

Answer 18

I got it right. Thank you so much.