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

2 Answers
Zain B.
Jul 19, 2017

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.

Jim G.
Jul 19, 2017

#"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]}

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