Question

Write the equation of the line that passes through (1,2) and with a slope of -1/3 in standard form

Answer 1

Start with y = mx+b

Answer 2

We're given a slope of -1/3, so m = -1/3

Answer 3

This means

y = mx+b

becomes

y = -1/3x + b

Answer 4

We also know it passes through (1,2), so x = 1 and y = 2

Plug these new values in to get


2 = (-1/3)*(1) + b


Now solve for b

Answer 5

Thank you!

Answer 6

you're welcome

Answer 7

let me know what you get

Answer 8

I really only needed the method for solving the problem, see I am helping my daughter with entry level algerbra and I wanted to pose an example problem. Thanks for your help!

Answer 9

alright, I'm glad I could help

Answer 10

Oh one more thing, for this problem, y-3=1(x+4):::::: Write the equation of the line that passes through (-4,3) and with the slope of 1 in slope intercept form.::::: is that correct?

Answer 11

that's point slope form, so you'll have to solve for y and simplify

Answer 12

Thanks.. hm when I re-work it, I got 3x-4y=1.. is that right?

Answer 13

no, not sure how you got that

Answer 14

use y = mx+b again, this time plug in m = 1, x = -4 and y = 3 to solve for b

Answer 15

Ohhhhhh. It's y=x+7, isn't it

Answer 16

yes it is, nice work

Answer 17

couldn't have done it without your help haha

Answer 18

lol glad to help