Question

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

Answer 1

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

`3x-4y=6 \iff 4y=3x-6 \iff y=(3)/(4)x-(3)/(2)`

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

`x=0 \implies y=-(3)/(2)`

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

`x=2 \implies y=(3)/(2)-(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.

Answer 2

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