Finding the X and Y Intercepts
X-Intercept: The point where a line crosses the x-axis.
Example:(1)
\begin{align} y=\frac{x^2+3x+2}{x-1} \end{align}
Step 1: Factor the numerator
(2)\begin{align} \frac{(x+2)(x+1)}{(x-1)} \end{align}
Step 2: Set the factors equal to zero
(3)\begin{equation} x+2=0, x+1=0 \end{equation}
Step 3: Solve for x
(4)\begin{equation} x=-2, x=-1 \end{equation}
X intercept: -1,-2
Y-Intercept: The point or points that a line crosses the y axis.
In standard form, the y-intercept is
\begin{align} \frac{constant}{constant}\ \end{align}
Example:
(6)\begin{align} \frac{2x^2+5x-3}{2x^2+7+3}\ \end{align}
(7)
\begin{align} \frac{-3}{3}=-1 \end{align}
Y Intercept: -1