Question

How do I determine the x and y intercept for the graph `6(x-1)=2(y+3)`?

Answer 1

We can start with simplifying this equation for the variable `y`

`6x - 6 = 2y + 6`

`6x-6-6 =2y + 6 - 6`

`6x - 12 = 2y`

`(6x)/2 - (12)/2 = (2y)/2`

`3x - 6 = y`

So the x intercept is the x value when y is equal to zero (this is where the graph intercepts the x axis) and the y intercept is the y value when x is equal to zero. Thus;

when x = 0; y= -6 and when y=0; x=2

The graph of this function is depicted below by using "Desmos Graphing Calculator" so that you can get to see both the x and y intercepts of this function properly.

Desmos Graphing Calculator