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draw the line 3y-4x=12 for values of x from -3 to 3
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Step-by-step explanation:

Explanation:

Notice that the terms are linear or constant, so this equation represents a straight line.

We can find the intersections with the

x

and

y

axes by setting

y

or

x

equal to zero, or equivalently covering up the corresponding term and solving the resultant equation.

So putting

x

=

0

we get:

3

y

=

12

Dividing both sides by

3

, we find:

y

=

4

So the line intercepts the

y

axis (which has equation

x

=

0

) at the point

(

0

,

4

)

If we instead put

y

=

0

then we get:

4

x

=

12
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