What is the slope of #2y=-2y+6x+9#?

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Answer 1 · 2018-07-19T01:15:09

The slope is #3/2# or #1.5#.

#2y = -2y + 6x + 9#

To find the slope, first make the equation in slope-intercept form, shown here:
www.katesmathlessons.com

When we put it in this form we can find the slope easily as it is the number multiplied by #x#.

#2y = -2y + 6x + 9#

First, add #color(blue)(2y)# to both sides of the equation:
#2y quadcolor(blue)(+quad2y) = -2y + 6x + 9 quadcolor(blue)(+quad2y)#

#4y = 6x + 9#

Now divide both sides by #color(blue)4#:
#(4y)/color(blue)4 = (6x+9)/color(blue)4#

#y = 6/4x + 9/4#

Simplify:
#y = 3/2x + 9/4#

Since we said earlier that the slope is the number multiplied by #x#, we know that the slope is #3/2# or #1.5#.

Hope this helps!