SOLUTION: Please help solve. Find an equation of each line, and write it in slope-intercept form. Trough (-7,2) and parallel to 3x +5y=6

Algebra ->  Linear-equations -> SOLUTION: Please help solve. Find an equation of each line, and write it in slope-intercept form. Trough (-7,2) and parallel to 3x +5y=6      Log On


   

Question 60210: Please help solve.
Find an equation of each line, and write it in slope-intercept form.
Trough (-7,2) and parallel to 3x +5y=6
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Find an equation of each line, and write it in slope-intercept form.
Through (-7,2) and parallel to 3x +5y=6
First we need to put the equation into slope intercept form: highlight%28y=mx%2Bb%29, m=slope and b=y-intercept.
3x%2B5y=6
-3x%2B3x%2B5y=-3x%2B6
5y=-3x%2B6
5y%2F5=-3x%2F5%2B6%2F5
y=highlight%28-3%2F5%29x%2B6%2F5, the slope of this line is: m=-3/5
Parrallel lines have the same slopes, so our line will also have a slope, m=-3/5.
We can find the equation of a line using the point-slope formula: highlight%28y-y1=m%28x-x1%29%29, m=slope and (x1,y1)= given point.
m=-3/5 and (x1,y1)=(-7,2)
y-2=%28-3%2F5%29%28x-%28-7%29%29
y-2=%28-3%2F5%29%28x%2B7%29
5%28y-2%29=5%28-3%2F5%29%28x%2B7%29
5y-10=-3%28x%2B7%29
5y-10=-3x-21
5y-10%2B10=-3x-21%2B10
5y=-3x-11
5y%2F5=-3x%2F5-11%2F5
highlight%28y=%28-3%2F5%29x-11%2F5%29
Happy Calculating!!!