Respuesta :

Milliecartier
Reformat the equation to be in terms of y.
4y= 3x-6
y=3/4x -6/4
The y intercept when x=0 is -6/4
The x intercept when y=0 is 2
Simply draw the graph using these two points

Note that this is the equation of a line, since you can rewrite it as

[tex]3x-4y=6 \iff 4y=3x-6 \iff y=\dfrac{3}{4}x-\dfrac{3}{2}[/tex]

Now just choose two values for x and compute the correspondent y values:

[tex]x=0 \implies y=-\dfrac{3}{2}[/tex]

So, the line passes through the point (0, -3/2).

[tex]x=2 \implies y=\dfrac{3}{2}-\dfrac{3}{2}=0[/tex]

So, the line passes through the point (2, 0)

Now, draw on a coordinate plane the two points and connect them, and you'll have the line.

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