# How do you find the slope and intercept of y=-3/5x+2?

Mar 13, 2018

The slope is $- \frac{3}{5}$ and the intercept is $2$
(by inspection; see explanation below)

#### Explanation:

Compare the formula with the conventional way to express a straight line, which is

$y = m x + c$

where $m$ is the slope (found as the rise divided by the run of some convenient part of the line---the slope of a straight line is the same everywhere on the line) and $c$ is the intercept (the value of $y$ at which the line crosses the y axis.

The formula in the question is already in a form which makes it easy to compare (it is not necessary to undertake preliminary algebraic rearrangement)

$y = - \frac{3}{5} x + 2$

by inspection,

$- \frac{3}{5}$ corresponds to $m$, so this is the slope.

and

$2$ corresponds to $c$, so this is the intercept.

Job done!