# What is the slope and intercept for y=1/4x+5 and how would you graph it?

Mar 26, 2018

graph{1/4x+5 [-20.84, 19.16, -0.32, 19.68]}

slope is: 1/4
x- interept is:-20
y-intercept is: 5

#### Explanation:

Slope is just the co-efficent in front of the x term i.e. m, in y=mx+c

The y-intercept is given by c

To calculate the x-intercept set $y = 0$ then reverse the mapping to solve for x

$0 = \frac{x}{4} + 5$
$- 5 = \frac{x}{4}$
$- 20 = x$