How do you graph 6x-2y=46x2y=4 by plotting points?

2 Answers
Jul 19, 2017

Rearrange the equation to make yy the subject, and then substitute values of xx to get coordinates.

Explanation:

Rearrange the equation:

-2y = 4 - 6x2y=46x

y = (4-6x)/-2y=46x2

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

For example, when x = 0x=0

y = (4-(6*0))/-2y=4(60)2

y = (4)/-2y=42

y=-2y=2

This gives the first coordinate: (0,-2)(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)(0,2) lies on the graph.

Jul 19, 2017

"see explanation"see explanation

Explanation:

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

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

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

x=0to0-2y=4toy=-2larrcolor(red)" y-intercept"x=002y=4y=2 y-intercept

y=0to6x-0=4tox=2/3larrcolor(red)" x-intercept"y=06x0=4x=23 x-intercept

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