SOLUTION: Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point. 5x-2y=10;(3,-5)

Algebra ->  Linear-equations -> SOLUTION: Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point. 5x-2y=10;(3,-5)      Log On


   



Question 240851: Write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point.
5x-2y=10;(3,-5)

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
5x-2y=10
-2y=-5x+10
y=-5x/-2+10/-2
y=5x/2-5 (red line) this line has a slope=5/2
A parallel line will also have a slope=5/2
(3,-5)
-5=5/2*3+b
-5=15/2+b
b=-5-15/2
b=-10/2-15/2
b=-25/2
Y=5X/2-25/2 (green line)ANS. FOR THE LINE PARALLEL & PASSING THROUGH (3,-5)
+graph%28+300%2C+200%2C+-6%2C+6%2C+-15%2C+10%2C+5x%2F2+%2B5%2C5x%2F2+-25%2F2+%29+ (graph 300x200 pixels, x from -6 to 6, y from -15 to 10, of TWO functions 5x/2 +5,5x/2 -25/2).