SOLUTION: Thank you so much!! Write an equation of the line containing the given point and parallel to the given line. Express in y = mx+b. (-6,2;) 6x = 5y+4

Algebra ->  Functions -> SOLUTION: Thank you so much!! Write an equation of the line containing the given point and parallel to the given line. Express in y = mx+b. (-6,2;) 6x = 5y+4      Log On


   



Question 375863: Thank you so much!!
Write an equation of the line containing the given point and parallel to the given line. Express in y = mx+b.
(-6,2;) 6x = 5y+4

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Write an equation of the line containing the given point and parallel to the given line.
Express in y = mx+b.
(-6,2;) 6x = 5y+4
:
Find the slope of the given equation, put it in the slope intercept form y = mx+b:
6x = 5y + 4
-5y = -6x + 4
y has to be positive, multiply by -1
5y = 6x - 4
divide by 5
y = 6%2F5x - 4%2F5
:
The slope = 6%2F5, a parallel line will have the same slope
Use the point/slope form y - y1 - m(x - x1)
:
y - 2 = 6%2F5(x - (-6))
y - 2 = 6%2F5(x + 6)
y - 2 = 6%2F5x + 36%2F5
y = 6%2F5x + 36%2F5 + 2
y = 6%2F5x + 36%2F5 + 10%2F5
y = 6%2F5x + 46%2F5; is the parallel line