# How do I create a table of values for -3x+4y=8?I already have the table constructed, but would like to double check it with you.

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Solve the equation for y, thus putting the equation in slope-intercept form:

4y = 3x + 8

y = 3/4x + 2

However, in constructing a table of values, I prefer to make it as easy on myself as possible. In other words, since the slope (coefficient of x) is a fraction, pick values for x that are multiples of 4, thus making it easier to graph the coordinates on the Rectangular Coordinate system.

x y

0 2

4 5

-4 -1

In my opinion, it is easier to graph these whole number values than it is fraction or decimal coordinates.

First isolate for y,

4y=3x+8

/4 /4

y=(3x+8)/4

This is the equation in y=mx+c form.

Pick a domain (e.g -10 to 10) and substitute the x-values into the equation. You would have a table like this:

y | x

2.75 1

2 0

(And so on)

first turn the equation into y=...

-3x+4y=8

4y=3x+8

y=3/4x+2

once you have this, just sub in x values. usually your domain is equally above and below zero. create a t-chart with x on the left side and y on the right, then fill it in.

x y

-1 1.25

0 2

1 2.75

continue the chart in this was for as many x values are required