To find the equation for the line, we have to use the slope, the point, and the point-slope formula.
[tex]\begin{gathered} y-y_1=m(x-x_1) \\ y-4=\frac{1}{4}(x-(-1)) \\ y-4=\frac{1}{4}(x+1) \\ y-4=\frac{1}{4}x+\frac{1}{4} \\ y=\frac{1}{4}x+\frac{1}{4}+4 \\ y=\frac{1}{4}x+\frac{1+16}{4} \\ y=\frac{1}{4}x+\frac{17}{4} \end{gathered}[/tex]
Once we get the equation, we graph. The image below shows the graph of the line.
In words, the lines must pass through the points (-17,0) and (0, 4.25).
