Home > Algebra > Slope

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

Answer 1

Ethan Adkins

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:

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!

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Genesis Allen

To find the slope of the equation (2y = -2y + 6x + 9), you need to rewrite it in slope-intercept form, (y = mx + b), where (m) represents the slope. After rearranging the equation, you'll have:

[y = 3x + \frac{9}{2}]

The slope of this equation is (m = 3).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.