# How do you find the slope , y intercept, and x intercept of the line 2x+y = 5?

Aug 1, 2017

slope$= - 2$

$y - \text{intercept} = 5$

$x - \text{intercept} = \frac{5}{2}$

#### Explanation:

The equation of a straight line is

$y = m x + c - - \left(1\right)$

$m = \text{slope/gradient}$

$c = y - \text{intercept}$

$2 x + y = 5$

$\implies y = - 2 x + 5 -$

comparing with $\left(1\right)$

$\therefore m = - 2 ,$

$y - \text{intercept} = 5$

The x-intercept is when $y = 0$

from$\left(1\right)$

$2 x + y = 5 \implies 2 x + 0 = 5$

$\therefore x = \frac{5}{2}$