SOLUTION: write an equation of the line containing the given point and parallel to the given line.express your answer in the form y=mx+b (3,8);x+5y=3 y=? (-7,2);2x=3y+5 y=? Thanks

Algebra ->  Linear-equations -> SOLUTION: write an equation of the line containing the given point and parallel to the given line.express your answer in the form y=mx+b (3,8);x+5y=3 y=? (-7,2);2x=3y+5 y=? Thanks      Log On


   

Question 174142: write an equation of the line containing the given point and parallel to the given line.express your answer in the form y=mx+b
(3,8);x+5y=3
y=?
(-7,2);2x=3y+5
y=?

Thanks
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the given equation for y to get the slope-intercept form:

x%2B5y=3

5y=-x%2B3

y=%28-1%2F5%29x%2B3%2F5

Now you know that the slope of the given line is -1%2F5. Parallel lines have equal slopes, so use the point-slope form of the line to determine the equation of the desired line.

y-y%5B1%5D=m%28x-x%5B1%5D%29

y-8=%28-1%2F5%29%28x-3%29

y-8=%28-1%2F5%29x%2B3%2F5

y=%28-1%2F5%29x%2B3%2F5%2B40%2F5

y=%28-1%2F5%29x%2B43%2F5

Follow the same procedure to do the other one.