What is the slope and y-intercept of the line #y=3x+2 #?

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Answer 1 · 2017-01-16T13:02:58

The slope is #3# and the y-intercept is #2# or (0, 2).

See full explanation below:

The slope-intercept form of a linear equation is:

#y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

Because the equation in the problem is already in slope intercept form we can directly extract the slope and the y-intercept:

#y = color(red)(3)x + color(blue)(2)#

Therefore:

The slope is #color(red)(m = 3)#

The y-intercept is #color(blue)(b = 2)# or (0, 2)