Question

What is the equation in standard form of the line which passes through (6, 3) and has a slope of 2/3

Answer 1

well knowing the slope you can set the equation up in slope intercept form as

y = 2/3 x + b

substitute x = 6 and y = 3 to find b

then write the equation in standard form

Answer 2

but how do you do that?

Answer 3

so what value did you get for b..?

Answer 4

i know it would be 3=2/3(6)+b but idk how to do the rest

Answer 5

3 = 2/3 * 6 + b

so

3 = 4 + b

whats the value of b..?

Answer 6

b=-1

Answer 7

great so the equation is

y = 2/3x - 1

next multiply each term by 3 what do you get..?

you are wanting to get rid of the fraction.

Answer 8

3y=2x-1

Answer 9

or wait no 3y=2x-3

Answer 10

a good try, but you forgot about -1


3y = 2x - 3

the standard form of a line is

Ax +By = C

so subtract 2x from both sides of the equation, what do you get?

Answer 11

-3=3y-2x

-2x+3y=-3

Answer 12

yep the both are correct and in standard form.

The common rule is to have A as positive so multiply each term by -1

and you get

2x - 3y = 3 or you can have -2x +3y = -3

either is fine

hope its helped

Answer 13

yes thank you!