How do you find the slope of the graph of #3x+5y=10#?

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Answer 1 · 2018-05-05T15:28:48

#-3/5# is the slope of the line.

Rearrange the equation into slope-intercept form to find the slope:

#y = mx + b#

#"m = slope"#
#"b = y-intercept"#

So rearrange the problem so that the #y# is by itself on the left of the equal sign:

#3x +5y=10#

#5y = -3x + 10#

#y = -3/5x + 10/5#

#y = -3/5x + 2#

The slope is next to the #x#, so it is called #m# in the slope-intercept form:

#y = color(blue)mx + b#

#y = color(blue)(-3/5)x + 2#

#-3/5# is the slope of the line.