# How do you graph  6x-2y=4 by plotting points?

Jul 19, 2017

Rearrange the equation to make $y$ the subject, and then substitute values of $x$ to get coordinates.

#### Explanation:

Rearrange the equation:

$- 2 y = 4 - 6 x$

$y = \frac{4 - 6 x}{-} 2$

Now input values of x and use the formula to find y.

For example, when $x = 0$

$y = \frac{4 - \left(6 \cdot 0\right)}{-} 2$

$y = \frac{4}{-} 2$

$y = - 2$

This gives the first coordinate: $\left(0 , - 2\right)$

Repeat with a second number for the second coordinate and draw a line through the two points (only two points are needed).

graph{4=6x-2y [-4.505, 5.935, -2.75, 2.47]}

From the graph, we can see the point calculated, $\left(0 , - 2\right)$ lies on the graph.

Jul 19, 2017

$\text{see explanation}$

#### Explanation:

$\text{one way is to find the x and y intercepts, that is where the}$
$\text{line crosses the axes}$

• " let x = 0, in the equation for y-intercept"

• " let y = 0, in the equation for x-intercept"

$x = 0 \to 0 - 2 y = 4 \to y = - 2 \leftarrow \textcolor{red}{\text{ y-intercept}}$

$y = 0 \to 6 x - 0 = 4 \to x = \frac{2}{3} \leftarrow \textcolor{red}{\text{ x-intercept}}$

$\text{plot these points and draw a straight line through them}$
graph{3x-2 [-10, 10, -5, 5]}