Question

Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?

Answer 1

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 3}}\quad ,&{\color{blue}{ -5}})\quad &({\color{red}{ 6}}\quad ,&{\color{blue}{ 0}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies \cfrac{{\color{blue}{ y_2}}-{\color{blue}{ y_1}}}{{\color{red}{ x_2}}-{\color{red}{ x_1}}}
\\ \quad \\

y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values and move the "x" and "y" to the left}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 2

We use the following fact: \[
\frac{\Delta y}{\Delta x}
\]is equal for all points.

Answer 3

\[
\frac{y-(-5)}{x-3} = \frac{0-(-5)}{6-3}
\]

Answer 4

@jdoe0001 How did you type that all out so quick?

Answer 5

a) 5x + 3y = 18
b) 5x – 3y = 30
c) 5x – y = 30
d) 5x + y = 18