# How do you find the x and y intercepts for y=3x-5?

May 3, 2018

x-intercept$= \frac{5}{3}$ and y-intercept$= - 5$

#### Explanation:

Reduce the given equation to $\frac{x}{a} + \frac{y}{b} = 1$ where $a$ and $b$ are x and y intercepts respectively.

Given equation is

$\rightarrow y = 3 x - 5$

$\rightarrow 3 x - y = 5$

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

$\rightarrow \frac{x}{\frac{5}{3}} + \left(\frac{y}{- 5}\right) = 1$.....[1]

Comparing [1] by $\frac{x}{a} + \frac{y}{b} = 1$ we get $a = \frac{5}{3} \mathmr{and} b = - 5$

So, x-intercept$= \frac{5}{3}$ and y-intercept$= - 5$