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x

y

-28
-54

-21
-40

-14
-26

What is the
y-intercept of the line?

\begin{tabular}{cc} $\newline$ $x$ & $y$ \\ $\newline$ \hline $-28$ & $-54$ \\ $\newline$ $-21$ & $-40$ \\ $\newline$ $-14$ & $-26$ $\newline$ \end{tabular} $\newline$ What is the $y$ -intercept of the line?

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Rational functions: asymptotes and excluded values

Full solution

Q. \begin{tabular}{cc}

\newline

x

&

y

\\

\newline

\hline

-28

&

-54

\\

\newline

-21

&

-40

\\

\newline

-14

&

-26

\newline

\end{tabular}

\newline

What is the

y

-intercept of the line?

Identify pattern for slope: Identify the pattern in the $x$ and $y$ values to determine the slope ( $m$ ) of the line. Calculate the slope using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ using the first two points $(-28, -54)$ and $(-21, -40)$ .
Calculate slope using formula: Use the slope-intercept form of the equation of a line, $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept. Substitute one point and the slope into the equation to solve for $b$ . Using point $(-28, -54)$ and $m = 2$ .
Use slope-intercept form: The $y$ -intercept ( $b$ ) of the line is the value of $b$ calculated in the previous step.

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