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) About Me  (Show Source):
You can put this solution on YOUR website!
Same slope, so 3x-5y=c

Use the point.
3%28-1%29-5%283%29=c
c=-18

Equation is 3x-5y=-18;
Solve for y and adjust to slope-intercept form, y=mx%2Bb


SOME CONFUSION ABOUT THE 6 IN THE ORIGINAL EQUATION:

Try it this way.
Original equation, 3x-5y=6
-5y=-3x%2B6
y=-%283%2F5%29x-6%2F5
Slope is -%283%2F5%29.
For parallel line, you want the same slope, so you are looking for an equation, y=-%283%2F5%29x%2Bb, and you "do not yet know b".
Solving for b, obtain b=y-%28-3%2F5%29x and plug in the point to be contained:
b=3-%28-3%2F5%29%28-1%29
b=3%2B%28-3%2F5%29=3-3%2F5=15%2F5-3%2F5=12%2F5;
Your wanted equation is then highlight%28y=-%283%2F5%29x%2B12%2F5%29

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Parallel means it will have the same form as the current equation:
3x-5y=D
Use the point to find the value of D.
3%28-1%29-5%283%29=D
D=-3-15
D=-18
3x-5y=-18
5y=3x%2B18
highlight%28y=%283%2F5%29x%2B%2818%2F5%29%29
Here is a graph of the two lines.
+graph%28+300%2C+300%2C+-5%2C+5%2C+-5%2C+5%2C+%283x-6%29%2F5%2C+%283x%2B18%29%2F5%29+