Question

Consider the line that passes through the point (3, -2) and has a slope of 2.

Part 1: Write the equation of this line using point-slope form. (2 points)
Part 2: Using your equation from part 1, rewrite this equation in slope-intercept form. Make sure to show all of your work. (2 points)
Part 3: Using your equation from part 2, rewrite this equation in standard form. Make sure to show all of your work. (2 points)

Answer 1

You can Smartly use Geometry to solve Questions like This. Now Try to use it, and let me Know if you are done.

Answer 2

Im not in geometry! im in algebra still!

Answer 3

what is point-slope form

Answer 4

\[y - y _{1} = m(x - x _{1})\]

Answer 5

ok, so just substitute the x and y from (3, -2) for y1 and x1, and the slope, 2, for m

Answer 6

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

Answer 7

so y + 2 = 2(x - 3)

Answer 8

do you know how to change it into slope-intercept form?

Answer 9

y + 2 = 2(x - 3)
y + 2 = 2x - 6
- 2 - 2
y = 2x - 8

Answer 10

is this right?

Answer 11

yes :D

Answer 12

i just dont kno bout standard form

Answer 13

do you know what standard form is?

Answer 14

no...

Answer 15

Ax + By = C

Answer 16

and A can't be negative or a decimal

Answer 17

i dont kno how to solve that :(

Answer 18

y = 2x - 8

you have to subtract 2x

-2x + y = -8

but A can't be negative, so you then have to divide everything by -1

2x - y = 8

Answer 19

equation is y=2x-8

Answer 20

so you divide 2x and 8 by -1?

Answer 21

point slope equation is y+2 = 2 (x-3)

Answer 22

you'd have to divide the whole equation by -1. and all that does is change the signs

Answer 23

y = 2 x-8 that is slope intercept form

Answer 24

standard form is y+2 = 2 (x-3)

Answer 25

so its -2x - y = -8

Answer 26

no it's 2x - y = 8

Answer 27

I just gave you all three forms that you need

Answer 28

ohhhh okay thank you :)

Answer 29

no problemo :]