Question

the point -3,2 and has a slope of three write this in point slope form slope intercept form and standard form plz help me

Answer 1

When you have a point (x1,y1) and slope (m) point slope form is

y-y1=m(x-x1)

so plug your point and slope into that

Answer 2

the slope would be m but where do i put the point at

Answer 3

for x1 and y1

(-3,2)
^ ^
x1 y1

Answer 4

so it would be y-2=3(x-3)

Answer 5

Close, gotta change the sign because plugging in the x we have

y-2=3(x-(-3)

two negatives make a positive

y-2=3(x+3)

Answer 6

so thats your point slope form were done with that part

Answer 7

ok thanks man im just trying to ace a test im confused on can you help me with the other two forms

Answer 8

Yep, to get slope intercept form, just take point slope form and multiply out the right hand side and then isolate y

Answer 9

what would you multiply by

Answer 10

just multiply the parentheses

y-2=3(x+3)
y-2=3x+9

understand so far?

Answer 11

yeah then whats next after that

Answer 12

isolate y by adding 2 to both sides

y=3x+11

and thats your slope intercept form

Answer 13

then how do you get the last form

Answer 14

Standard form looks like ax+by=c so we wanna get x and y on the left side in that order and the constant on the right

subtract 3x from both sides

-3x+y=11

looks good but sometimes they want the leading coefficient to be positive so we can make that happen my multiplying the entire equation by -1

3x-y=-11

Answer 15

so 3x-y=-11 is the standard form so it was that easy

Answer 16

yep

Answer 17

well thanks man i cant tell you how much of a help you were i really appreciate it

Answer 18

You're welcome