# How do you graph using slope and intercept of 3x+5y=5?

Apr 30, 2018

Below

#### Explanation:

First you have to make y the subject so you can find your slope

$3 x + 5 y = 5$
$5 y = 5 - 3 x$
$y = 1 - \frac{3}{5} x$
$y = - \frac{3}{5} x + 1$

Looking at the equation, you'll notice that it is in the form of $y = m x + b$ where m is your gradient and b is your y-intercept

SO your slope is $- \frac{3}{5}$ and your y-intercept is $\left(0 , 1\right)$
Your x-intercept can be found by letting $y = 0$
$3 x = 5$
$x = \frac{5}{3}$ $\left(\frac{5}{3} , 0\right)$

Now all you have to do is plot your x and y intercepts and connect the two dots together

graph{3x+5y=5 [-10, 10, -5, 5]}