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

May 17, 2018

The slope = $\frac{1}{2}$

#### Explanation:

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

$y = \frac{1}{2} x$ is already written in the slope-intercept form
$y = \frac{1}{2} x + 0$

where $\frac{1}{2}$ 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:

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

take any two points, for example, let's take
$\left(4 , 2\right)$
$\left(0 , 0\right)$

${x}_{1} = 4$

${x}_{2} = 0$

${y}_{1} = 2$

${y}_{2} = 0$

$m = \frac{0 - 2}{0 - 4} = \frac{\cancel{-} 2}{\cancel{-} 4} = \frac{2}{4} = \frac{1}{2}$

$m = \frac{1}{2}$