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What is the y intercept of the line AB

 Apr 27, 2015

Best Answer 

 #1
avatar+26364 
+5

What is the y intercept of the line AB ?

$$\small{\text{
$
\begin{array}{rcl}
\dfrac{y_{\rm{intercept}} - y_a } { x_a} &=& \dfrac{ y_a - y_b } { x_b-x_a} \\ \\
y_{ \rm{intercept} } &=& y_a - x_a \cdot { \dfrac{ y_b - y_a } { x_b-x_a} }
\end{array}
$
}}\\\\\\
\text{Example}:
\small{\text{
$
\begin{array}{rcl}
x_a=1 & y_a = 2 &\\
x_b=2 & y_b = 1 &\\
&& y_{ \rm{intercept} } = 2 - 1 \cdot { \dfrac{ 1-2 } { 2-1} }
= 2 + 1 \cdot { \dfrac{ 1 } { 1} }
=2 + 1 = 3
\end{array}
$}}$$

 Apr 27, 2015
 #1
avatar+26364 
+5
Best Answer

What is the y intercept of the line AB ?

$$\small{\text{
$
\begin{array}{rcl}
\dfrac{y_{\rm{intercept}} - y_a } { x_a} &=& \dfrac{ y_a - y_b } { x_b-x_a} \\ \\
y_{ \rm{intercept} } &=& y_a - x_a \cdot { \dfrac{ y_b - y_a } { x_b-x_a} }
\end{array}
$
}}\\\\\\
\text{Example}:
\small{\text{
$
\begin{array}{rcl}
x_a=1 & y_a = 2 &\\
x_b=2 & y_b = 1 &\\
&& y_{ \rm{intercept} } = 2 - 1 \cdot { \dfrac{ 1-2 } { 2-1} }
= 2 + 1 \cdot { \dfrac{ 1 } { 1} }
=2 + 1 = 3
\end{array}
$}}$$

heureka Apr 27, 2015

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