What's the x intercept of y=3x-6?

Question

Its for a math thing and I just dont get it can someone plz explain

 

Answer 1

Hi Ashley;

You probably already know that the y-intercept is the value of y when x=0.  In this equation, is it -6.

The x-intercept is the value of x when y=0

y=3x-6

0=3x-6

Let's add six to both sides as we proceed to isolate x...

0+6=3x-6+6

6=3x

Let's divide both sides by 3...

6/3=3x

2=x

Answer 2

x intercept is the point on the x-axis, the points on the x-axis all have the form (x, 0)

so for y=3x-6, y=0, x=2 is the x-intercept.

 

resource: College Cal I TA