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

1 Answer
May 17, 2018

The slope = 1/2

Explanation:

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