find the intercept. x-6y=12

Question

the rest of the question is to graph the linear equation using the intercepts. i cant figure this question out and iam about to throw my computer away casue i cant figure it out

Answer 1

x - 6y = 12

To find the y-intercept (i.e. where the line goes through the y-axis) put x = 0.

So the equation becomes:   0 - 6y = 12

                                                  -6y = 12

So now divide both sides of the equation by -6.

So it becomes:   -6y / -6 = 12 / -6

                                y = -2

And so the line goes through the y-axis at the point (0,-2).

 

So now you can find the x-intercept by putting y = 0.

So if y = 0 then the equation becomes:

x - 0 = 12

x = 12

And so the line goes through the x-intercept at the point (12,0). 

 

You can now plot these two points on a graph and then join them by a line which will give you the equation.