SOLUTION: Write the slope intercept form of the equation through (-1,3) and parallel to the line 3x-5y=6

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Question 829514: Write the slope intercept form of the equation through (-1,3) and parallel to the line 3x-5y=6
Found 2 solutions by josgarithmetic, Fombitz:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Same slope, so

Use the point.



Equation is ;
Solve for y and adjust to slope-intercept form,


SOME CONFUSION ABOUT THE 6 IN THE ORIGINAL EQUATION:

Try it this way.
Original equation, 3x-5y=6


Slope is .
For parallel line, you want the same slope, so you are looking for an equation, , and you "do not yet know b".
Solving for b, obtain and plug in the point to be contained:

;
Your wanted equation is then

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Parallel means it will have the same form as the current equation:

Use the point to find the value of D.






Here is a graph of the two lines.

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