**SEE BELOW...!!!!!!!!!!!**

**-2x+3y=1**

**Steve reminded me of the fact that A must be greater than zero. Therefore, both sides must be multiplied by -1...**

**2x-3y=-1**

The line with m = 2/3 and passing through (1, 1).

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Hi again Lindsey;

Standard form equation is...

Ax+By=C, neither A nor B equal zero, and A is greater than zero.

Slope of a standard equation is -A/B.

Slope is (2/3).

The negative of slope is -2/3.

-2x+3y=C

To establish the value of C, we will input the point provided, (1,1)...

[(-2)(1)]+[(3)(1)]=C

-2+3=C

1=C

Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...

Y = mx +b / Slope intercept form

mx - Y = -b / Standard form

2/3( 1) - 1 = -b

b = 1/3

2/3 X - 1 = 1/3

2x - 3Y = 1

It is easier,

Find standard form equation of a line with m = 2/3 and passing through (1, 1).

The easiest form to start with is point-slope:

y - 1 = (2/3) (x - 1)

Multiply both sides by 3:

3y -3 = 2x -2

-3y+2=-3y+2

-1 = 2x - 3y

Swapping sides:

2x - 3y = -1

Especially if calculus is in your future, learn this technique very well.

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