Question

Using point slope form y-y1 = m(x-x1) write an equation for the line:

a. With slope -2, containing point (3,4)
c. With slope 0, containing the point (4,2)

Answer 1

a. m = -2 point (3, 4) means x1 =3 and y1 = 4
substitute in y-y1 = m(x-x1)
b. does not exist
c. follow the same format as a.

Answer 2

\(\bf \begin{array}{lllll}
&x_1&y_1\\
&({\color{red}{ 3}}\quad ,&{\color{blue}{ 4}})\\
&({\color{red}{ 4}}\quad ,&{\color{blue}{ 2}})
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= -2\\
slope = {\color{green}{ m}}= 0\\
\\ \quad \\

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