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Input the equation of the given line in standard form.

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

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Vivian L. | Microsoft Word/Excel/Outlook, essay composition, math; I LOVE TO TEACHMicrosoft Word/Excel/Outlook, essay comp...
3.0 3.0 (1 lesson ratings) (1)
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

Comments

"A is greater than zero."
Hi Lindsay,
Steve is correct.  I made a mistake.  In my equation, A is greater than zero,  -2x+3y=1.  Both sides must be multiplied by -1---2x-3y=-1.
MY APOLOGIES.
Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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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,
Steve S. | Tutoring in Precalculus, Trig, and Differential CalculusTutoring in Precalculus, Trig, and Diffe...
5.0 5.0 (3 lesson ratings) (3)
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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.