# How do you find the slope and intercept of y-3/5x=-1/4?

Mar 9, 2016

Slope: $\frac{3}{5}$
y-intercept: $- \frac{1}{4}$
x-intercept: $\frac{5}{12}$

#### Explanation:

A way to find the slope and intercepts of a linear equation is to transform it into the slope-intercept form. Generally the slope-intercept form looks like this:

$y = m x + b$

Where m is the slope and b is the y-intercept.

In this case, the given is $y - \frac{3}{5} x = - \frac{1}{4}$, so we just have to transpose the term with the $x$ variable into the other side of the equation.

[Solution]
$y - \frac{3}{5} x = - \frac{1}{4}$
$y = \frac{3}{5} x - \frac{1}{4}$

Now that we have the slope-intercept form, we know from the equation that...

Slope -> $m = \frac{3}{5}$
y-intercept: $- \frac{1}{4}$

As for the x-intercept, we know that when the graph crosses the x-axis then the value of $y$ is 0. So in order to compute for the x-intercept, we only need to evaluate the equation with $y = 0$.

[Solution]
$y - \frac{3}{5} x = - \frac{1}{4}$
$0 - \frac{3}{5} x = - \frac{1}{4}$
$- \frac{3}{5} x = - \frac{1}{4}$
$\frac{3}{5} x = \frac{1}{4}$
$x = \left(\frac{1}{4}\right) \left(\frac{5}{3}\right)$
$x = \frac{5}{12}$