# How do you find the slope and intercept of y=2/3x+4?

Jan 1, 2016

$\text{slope / gradient} = \frac{2}{3}$

$\text{y-intercept} = 4$

#### Explanation:

The slope or gradient of a linear function is always given as the coefficient of $x$ when the function of the line is expressed in the form $y = m x + c$ (thus $m = \text{slope}$). The y-intercept is the value of $c$, which may or may not be $0$ depending on the line function.

In this case, since the equation of the line is sufficiently prepared, one must simply compare the two to find the slope and intercept:

$y = m x + c$

$y = \frac{2}{3} x + 4$

$\therefore$ $m = \frac{2}{3}$

$\therefore$ $c = 4$