Question

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

Answer 1

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

Explanation:

Rearrange the equation:

`-2y = 4 - 6x`

`y = (4-6x)/-2`

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

For example, when `x = 0`

`y = (4-(6*0))/-2`

`y = (4)/-2`

`y=-2`

This gives the first coordinate: `(0,-2)`

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, `(0,-2)` lies on the graph.

Answer 2

`"see explanation"`

Explanation:

`"one way is to find the x and y intercepts, that is where the"`
`"line crosses the axes"`

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

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

`x=0to0-2y=4toy=-2larrcolor(red)" y-intercept"`

`y=0to6x-0=4tox=2/3larrcolor(red)" x-intercept"`

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