Input the equation of the given line in standard form.

Question

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

Answer 1

Hi again Lindsey;

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

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

-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

Answer 2

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,

Answer 3

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.