# How do you find the slope and y intercept of x+y=7?

Jan 11, 2016

slope = - 1
y-intercept = 7

#### Explanation:

one form of the equation of a straight line is y = mx + c where m =slope and c is the y-intercept.

rearranging the equation x + y = 7 into this form gives :

y = - x + 7

comparing the 2 equations we see that m = - 1 and c = 7

here is the graph of y = - x +7

graph{-x+7 [-20, 20, -10, 10]}

Jan 11, 2016

Slope $= - 1$
Y-intercept $= 7$

#### Explanation:

Start with the equation $x + y = 7$.
Subtract $x$ from both sides to get $y = - x + 7$.

The slope is the coefficient of the $x$ term. In this case, it is assumed to be $- 1$ because $- x = - 1 x$.

The y-intercept is the value of $y$ when $x = 0$. After substituting $0$ for $x$, we get $y = - 0 + 7$. This equals $y = 7$, so the y-intercept is $7$.