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

Algebra ->  Graphs -> 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      Log On


   



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) About Me  (Show Source):
You can put this solution on YOUR website!
6x%2B10y-%286%2A1%2B10%2A3%29=0

Alternatively, rely on y=mx+b.
b=y-mx
y=-%283%2F5%29x%2B%283-%28-3%2F5%29%2A1%29

Answer by MathTherapy(10552) About Me  (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
y+=+%28-+6x%29%2F%2810%29+-+1%2F10
y+=+-+%283%2F5%29x+-+1%2F10
Slope of above equation: m+=+-+3%2F5
Since parallel lines have congruent slopes, slope of new line, or m+=+-+3%2F5
Point on line to be formed: (1, 3)
y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29 ------ Point-slope form
y+-+3+=+%28-+3%2F5%29%28x+-+1%29 ------ Substituting values
y+-+3+=+%28-+3%2F5%29x+%2B+3%2F5
y+=+%28-+3%2F5%29x+%2B+3%2F5+%2B+3 ------ Adding 3 to both sides
y+=+%28-+3%2F5%29x+%2B+3%2F5+%2B+15%2F5
highlight_green%28y+=+%28-+3%2F5%29x+%2B+18%2F5%29 ----- Equation being sought