# How do you find the slope and intercept to graph y=2x?

Nov 1, 2015

See explanation

#### Explanation:

Standard for of equation is $y = m x + c$

where m is the gradient (slope) and c is the y-intercept. The gradient is the amount of up for the amount of along. So a gradient of say $\frac{2}{3}$ would mean that for every 3 along the x-axis you would go up by 2 on the y-axis.

In your case the m is of value 2. This may be quite correctly written as $\frac{2}{1}$. So for every 1 along the x-axis you go 2 along the y-axis.

$\textcolor{g r e e n}{\text{Your gradient is } 2}$

The line will cross the y-axis at $x = 0$. So just substitute and solve.

so $y = 2 x \text{becomes } y = 2 \times 0$

and $2 \times 0 = 0$

So your graph crosses the y-axis at $y = 0$

Nov 1, 2015

The slope is $2$ and the y-intercept is $0$.

#### Explanation:

$y = 2 x$ is in the slope-intercept form of a linear equation, $y = m x + b$, where $m$ is the slope and $b$ is the y-intercept.

For the equation $y = 2 x$, the slope is $2$ and the y-intercept is $0$.

graph{y=2x [-10, 10, -5, 5]}