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

Jan 3, 2016

$x \text{-intercept"=-2.5,y"-intercept} = 5 , s l o p e = 2$

#### Explanation:

The slope is the number that multiplies $x$ in the function:
$y = m x + n$, $m$ is the slope. In this case, the slope is $2$

The y-intercept is the point in the graph where the line crosses the y axis. This cross happens when $x = 0$. In this case, $y = 2 \cdot 0 + 5 = 5$. So, the y-intercept is $5$.

The x-intercept is the point in the graph where the line crosses the x axis. This cross happens when $y = 0$. In this case, $0 = 2 x + 5$.
Then, $2 x = - 5$, and $x = - 2.5$

So, $x \text{-intercept" = -2.5,y"-intercept} = 5 , s l o p e = 2$