How do you find the slope and intercept of #y=2x+5#?

1 Answer
Júlio B.
Jan 3, 2016

#x"-intercept"=-2.5,y"-intercept"=5,slope=2#

Explanation:

The slope is the number that multiplies #x# in the function:
#y = mx + n#, #m# is the slope. In this case, the slope is #2#

The y-intercept is the point in the graph where the line crosses the y axis. This cross happens when #x=0#. In this case, #y = 2*0 +5 = 5#. So, the y-intercept is #5#.

The x-intercept is the point in the graph where the line crosses the x axis. This cross happens when #y=0#. In this case, #0 = 2x +5#.
Then, #2x = -5#, and #x = -2.5#

So, #x"-intercept" = -2.5,y"-intercept" = 5, slope = 2#

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