# How do you find the slope and intercept for 3y=4x-5?

Aug 31, 2016

$\frac{4}{3}$ is slope of line and $- \frac{5}{3}$ is its intercept on $y$-axis.

#### Explanation:

The 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.

For this we write the value of $y$ in terms of $x$ and then coefficient of $x$ gives us slope and constant term gives us its intercept on $y$-axis.

As we have $3 y = 4 x - 5$,

$y = \frac{4}{3} x - \frac{5}{3}$, hence

$\frac{4}{3}$ is slope of line and $- \frac{5}{3}$ is its intercept on $y$-axis.

Aug 31, 2016

$m = \frac{4}{3} \mathmr{and} c = - \frac{5}{3}$

#### Explanation:

Re-arrange the equation of the straight line into the form of:
$y = m x + c \rightarrow \text{solve for y}$

$3 y = 4 x - 5 \text{ } \div 3$

$y = \frac{4}{3} x - \frac{5}{3} \leftarrow$ this is slope intercept form!

$m = \frac{4}{3} \mathmr{and} y - \text{intercept} \left(c\right) = - \frac{5}{3}$