Question

How do you graph `3x-2y=6` by the find the x and y intercepts?

Answer 1

The x-intercept occurs when `y=0` so the x-intercept for the equation `3x - 2y = 6` can be determined by evaluating `3x - 2(0) = 6` `rarr` `3x = 6` `rarr` `x=2`

The x-intercept is at `(x,y) = (2,0)`

Similarly the y-intercept can be determined to occur at `(x,y) = (0, -3)`

Since `3x - 2y = 6` is an equation representing a straight line,
simply draw a straight line which goes through both `(2,0)` and `(0,-3)`