Question

Which is the graph of 3x-4y = 6

Answer 1

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

Answer 2

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

$3x-4y=6 \iff 4y=3x-6 \iff y=\dfrac{3}{4}x-\dfrac{3}{2}$

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

$x=0 \implies y=-\dfrac{3}{2}$

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

$x=2 \implies y=\dfrac{3}{2}-\dfrac{3}{2}=0$

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.