Question

Help please? Write the standard form of a line that contains a slope of 2/3 and passes through the point (1,1).

Answer 1

actually, lets make it even easier. standard form is simply mx + y = b

Answer 2

That's what's confusing me. How am I supposed to use the points here?

Answer 3

points are of the form (x,y), we can simply sub in the equation.

Answer 4

we are given m = 2/3. so our equation now is:

(2/3)x + y = b.

Answer 5

why dont you try subbing in x = 1, and y = 1 into the equation and solve for b? that will be your solution.

Answer 6

So you simply just plug in those two points for x and y turning the equation into y=2/3x+1?

Answer 7

no sorry, try subbing into the equation we found above:
-(2/3)x + y = b. (forgot to include the - last time! sorry)

try finding b.

Answer 8

So instead -(2/3)1+1=b , would you then multiply -(2/3) into 1 making it positive and turning the equation into 2/3+1=b?

Answer 9

not quite. remember a negative (-2/3 in this case) and positive (1) = negative, so we would get back -2/3.

simply sub in (x = 1 and y = 1)
-(2/3)1+1=b
-2/3 + 1 = b

so what is b?

Answer 10

Is it one?

Answer 11

what is (-2/3) + 1, try it on your calculator. it is not 1.

Answer 12

It's 1/3

Answer 13

Yup.