# How do you graph using the intercepts for 5x+3y=53?

Apr 17, 2018

color(purple)("The two points are " (53/5,0), (0, 53/3)

#### Explanation:

$5 x + 3 y = 53$

$I n t e r c e p t f \mathmr{and} m o f e q u a t i o n i s$x / a + y / b = 1

Converting the given equation to intercept form,

$\left(\frac{5}{53}\right) x + \left(\frac{3}{53}\right) y = 1$

$\frac{x}{\frac{53}{5}} + \frac{y}{\frac{53}{3}} = 1$

Hence, $\text{x-intercept " = 53/5, " y-intercept } = \frac{53}{3}$

color(purple)("The two points are " (53/5,0), (0, 53/3)#

Now we can plot the graph knowing two points on a line.

graph{-(5/3) x + (53/3) [-10, 10, -5, 5]}