# How do you find the slope and intercept for 6x+2y=14?

Apr 6, 2016

Sloe of line is $3$ and intercept on $y$ axis is $7$.

#### Explanation:

Slop intercept form of equation of a line is $y = m x + c$, where $m$ is the slope of the line and $c$ is the intercept of the line on $y$-axis.

Hence to find slope and intercept for $6 x + 2 y = 14$, one should first solve for $y$. From the equation we get

$2 y = - 6 x + 14$ or dividing each side by $2$, we get

$y = 3 x + 7$

Comparing it with $y = m x + c$, we get

Sloe of line is $3$ and intercept on $y$ axis is $7$.

graph{6x+2y=14 [-18, 18, -12, 12]}