# How do you find the slope and intercept to graph y=3x+4?

Apr 1, 2018

$b = 4 , m = 3$

#### Explanation:

The intercept and slope are already given. This equation is in the form $y = m x + b$, where $b$ is the y-intercept (0,4) and $m$ is the slope, $3$.

Apr 1, 2018

Slope: $3$
Y-Intercept: $\left(4 , 0\right)$
X-Intercept: $\left(0 , - \frac{4}{3}\right)$

#### Explanation:

You should be armed with the knowledge what the slope-intercept form is. It is $y = m x + b$. $m$ stands for the slope, and $b$ stands for the y-intercept. So, seeing from the equation, $y = 3 x + 4$, 3 is the slope and $\left(4 , 0\right)$ is the y-intercept. To find the x-intercept, you have to plug 0 in for $y$ and just solve for $x$. Then, you should have $0 = 3 x + 4$. You subtract $4$ to isolate the variable. Lastly, you divide $3$ to get $- \frac{4}{3}$. The x-intercept is $\left(0 , - \frac{4}{3}\right)$