Question

graph the line with slope -1/3 passing through the point (1, -4)

Answer 1

http://tutorial.math.lamar.edu/Classes/Alg/Lines.aspx

Answer 2

you could use y=mx+b m=-1/3 that is your slope and x=1 y=-4 solve for b

Answer 3

\(\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
&({\color{red}{ 1}}\quad ,&{\color{blue}{ -4}})\quad
\end{array}
\\\quad \\

slope = {\color{green}{ m}}= -\cfrac{1}{3}
\\ \quad \\

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

get its equation first

keep in mind that is a linear equation, thus it makes a line
to draw a line all you really need is 2 points

so once you have the equation of it, use the "x" and "y" intercepts to graph it