# What is the slope and intercept of 3x + y = 5?

The slope is given by the coefficient $a$ in the explicit form:
$y = a x + b$
Thus, reorganising as $y = - 3 x + 5$, we get the slope as $- 3$
Also, using the same explicit form we can calculate the $y$ intercept (where $x = 0$), as $y = 5$, and the $x$ intercept (where $y = 0$), by solving $0 = - 3 x + 5$, that is $3 x = 5$, and then $x = \frac{5}{3}$