# How do you find the slope and intercept of 2y = 4x - 5?

Jul 31, 2016

Slope of the line is $2$ and intercept on $y$-axis is $- \frac{5}{2}$.

#### Explanation:

Slope intercept form of equation of a line is $y = m x + c$, where $m$ is the slope of line and $c$ is its intercept on $y$-axis.

As such one needs to solve an equation for $y$ and then coefficient of $x$ will give slope and constant term, the intercept on $y$-axis.

As $2 y = 4 x - 5$ can be written as (dividing each term by $2$)

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

Hence, the the slope of the line is $2$ and intercept on $y$-axis is $- \frac{5}{2}$.

graph{y=2x-5/2 [-4.96, 5.04, -3.48, 1.52]}