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How do you graph the equation by plotting points #3x - 2y =4#?

Answer 1

Function: #y=-2+3/2x#
Intercepts: (#0, -2#) and (#4/3, 0#). The graph is a line that passes through these points.

First of all, you must make a function out of this equation. A function is defined as #y=f(x)#, so you can start by isolating #y#:

#-2y=4-3x# #y=(4-3x)/-2 = -2+3/2x#

Next, since this is a linear function, you can find the intercepts of the function. With #x=0#: #y=-2+cancel(3/2*(0))=-2#

And with #y=0#: #0=-2+3/2x# #3x/2=2# #3x=4# #x=4/3#

We now have the points (#0, -2#) and (#4/3, 0#). We can just make a line that passes through them in the graph:

graph{3/2x-2 [-5, 5, -5, 5]}

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Answer 2

Hazel Anglin

To graph the equation 3x - 2y = 4 by plotting points, you can choose values for x, plug them into the equation to find the corresponding y values, and then plot those points on a graph. After plotting several points, connect them with a straight line to represent the equation.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.