Solve the equation for the variable indicated: remember to insert a space or explicitly type "*" between two letters to indicate multiplication. y = (x − 5)/(x − 1) solve for x.

Step-by-step explanation:

1) This rational equation can be solved for x, equalizing to zero. Then cross multiplying it we can find the graph intercepts the x-axis in (5,0)

2) The denominator is useful for us to calculate the vertical asymptote, x=1.

We can also trace the vertical asymptote since both equations have the same degree then the vertical asymptote value is equal to the horizontal one, y=1.

3) Finally, this function is not defined for x=1, as we can see in the denominator, for x-1≠0 then x≠1