How do you find the slope given #y=x#?

2 Answers
Jul 19, 2018

The slope is #1#.

Explanation:

Since this linear equation is in slope-intercept form, or #y = mx + b#, and we know that #m# is the slope, that means the number multiplied by #x# is the slope.

In our question, #y = x#, the number multiplied by #x# is just #1#, so the slope is #1#.

Hope this helps!

Jul 19, 2018

#1#

Explanation:

We can write this in slope-intercept form

#y=mx+b#, with slope #m# and a #y#-intercept of #b# as

#y=1x+0#

Notice, this equation is saying the exact same thing as #y=x#.

Since we have it in this form, we see that the coefficient on #x#, or our slope, is #1#.

Hope this helps!