How do you find the slope of #y=1/2x#?

Question

6814 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-17T15:15:26

The slope = #1/2#

The slope-intercept form of a linear equation is y = mx + b
where m is the slope and +b is the y-intercept.

#y=1/2x# is already written in the slope-intercept form
#y = 1/2x + 0#

where #1/2# is the slope, and 0 is the y-intercept.

graph{y=1/2x [-10, 10, -5, 5]}

and you can find the slope from the graph by taking two points and apply the two points slope formula:

#m = (y_2-y_1)/(x_2-x_1)#

take any two points, for example, let's take
#(4,2)#
#(0,0)#

#x_1=4#

#x_2=0#

#y_1=2#

#y_2=0#

#m=(0-2)/(0-4)=(cancel(-)2)/(cancel(-)4)=2/4=1/2#

#m=1/2#