# What is the slope of Y=2x-5?

Jun 12, 2015

The slope is always the coefficient of (i.e., the number multiplied by) the independent variable, in this case $x$. The slope is therefore $2$.

#### Explanation:

The equation of a line can be expressed in the form

$y = m x + b$

The $y$ is the dependent variable, because it's value depends on the independent variable $x$. Also, $m$ is the slope of the line, and $b$ is the intercept point . The slope, if the line is drawn on a Cartesian graph, is a measure of the "steepness" of that line. Positive values of $m$ go "uphill" from left to right and negative values go "downhill" from left to right. Larger $m$ values get closer and closer to a vertical line, where as the closer $m$ gets to zero, the more horizontal it gets.

In your case, $y = 2 x - 5$, the value $m$ is replaced by a $2$, so the slope is $2$. On a graph, it would look like this:

graph{y=2x-5[-2,5,-7,5]}