How do you find the slope of the line #x + y = 7#?

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Answer 1 · 2015-08-21T12:00:46

#m = -1#

You can easily find the slope of any line by rewriting its equation in sloper-intercept form, which for a general line looks line this

#color(blue)(y = mx + b)" "#, with

#m# - the slope of the line;
#b# - the #y#-intercept.

Your line equation looks like this

#x + y = 7#

To get it to general slope-intercept form, move #x# to the right-hand side of the equation

#y = -x + 7#

Now simply compare the two equations. In your case, you have #b = 7# and

#m = color(green)(-1)#