What is the slope of #2=-15y+13x#?

2 Answers
Jul 19, 2018

The slope is #13/15#.

Explanation:

To find the slope, first make the equation in slope-intercept form (shown below) so that we can find the slope easier:
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First, add #color(blue)(15y)# to both sides of the equation:
#2 quadcolor(blue)(+quad15y) = -15y + 13x quadcolor(blue)(+quad15y)#

#2 + 15y = 13x#

Subtract #color(blue)2# from both sides:
#2 + 15y quadcolor(blue)(-quad2) = 13x quadcolor(blue)(-quad2)#

#15y = 13x - 2#

Divide both sides by #color(blue)15#:
#(15y)/color(blue)15 = (13x-2)/color(blue)15#

#y = 13/15x - 2/15#

We know that the number multiplied by #x# is the slope, meaning that the slope is #13/15#.

Hope this helps!

Jul 19, 2018

#13/15#

Explanation:

We can easily find the slope by converting this equation into slope-intercept form

#y=mx+b#, with slope #m#.

We have the equation

#-15y+13x=2#

Let's subtract #13x# from both sides to get

#-15y=-13x+2#

Next, divide both sides by #-15# to get

#y=13/15x-2/15#

We see that the coefficient on our #x# term is #13/15#, which is our slope.

Hope this helps!