Find the x inetrcept

Question

y = (x-1)/(x-2)

show work please!

Answer 1

You want to find the coordinates (point) where y=0, as when y=0, the point is on the x-axis, hence the name, x-intercept.

Therefore,

0= (x-1)/(x-2)

0= x-1 ---Multiply both sides by (x-2).

1= x ---Add 1 to both sides.

x= 1 ---Reflexive Property

The x-intercept is (1, 0).

Answer 2

The x intercept is when y=0.

So set the equation equal to 0.

0=(x-1)/(x-2)

Mutiply both sides by (x-2)

0=(x-1)

Add 1 to both sides:

x=1

This is the x intercept

The link below will let you verify the answer visually on a graph.

Answer 3

(1, 0)

The x-intercept is where the graph intersects the x-axis.

The x-axis is where y = 0.

x-intercept y = 0 = (x-1) / (x-2)

The fraction is 0 when the numerator (x-1) is 0.

So x = 1 and y = 0.

(x, y) = (1, 0)