SOLUTION: Im not sure if this question belongs in this section so please forgive me if it isn't but I just don't know where to start with this equation. "Find the equation of the line th

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Question 969647: Im not sure if this question belongs in this section so please forgive me if it isn't but I just don't know where to start with this equation.
"Find the equation of the line through (1,3) that is parallel to the line 6x+10y+1=0"
Please help me with step by step action because as you can probably tell I have no idea what to do, and a teacher who speeds way past my ability to comprehend. Thank you in advance, the help is much appreciated.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!


Alternatively, rely on y=mx+b.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Im not sure if this question belongs in this section so please forgive me if it isn't but I just don't know where to start with this equation.
"Find the equation of the line through (1,3) that is parallel to the line 6x+10y+1=0"
Please help me with step by step action because as you can probably tell I have no idea what to do, and a teacher who speeds way past my ability to comprehend. Thank you in advance, the help is much appreciated.
y = mx + b ------- Slope-intercept form of a linear equation

(x, y) being a point on the line, m is the slope, and b is the y-intercept



Your equation: 6x + 10y + 1 = 0

10y + 1 = - 6x ------ Subtracting 6x

10y = - 6x - 1 ------ Subtracting 1







Slope of above equation: 

Since parallel lines have congruent slopes, slope of new line, or 

Point on line to be formed: (1, 3)

 ------ Point-slope form

 ------ Substituting values



 ------ Adding 3 to both sides



 ----- Equation being sought 

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