# What is the slope and intercept of 7x+y=6?

May 25, 2016

$s l o p e = - 7 \text{ }$

$\text{x intercept ="6/7" }$

$\text{y intercept =} 6$

#### Explanation:

$7 x + y = 6$

$y = - 7 x + 6$

$\text{the coefficient of the term of 'x' is the slope of line}$

$s l o p e = m = - 7$

$\text{ we write y=0 to find the x intercept of the line}$

$0 = - 7 x + 6$

$7 x = 6$

$x = \frac{6}{7}$

$\text{we write x=0 to find the y intercept}$

$y = - 7 \cdot 0 + 6$

$y = 6$