Question

The first puzzle includes a treasure map. The treasure map is an xy coordinate grid with the origin markingthe center of the room as shown below. Two lines intersect to show the location of the next clue. The linesmust be added to the treasure map.The first line is represented by the equation y = 3x - 16.The graph of the second line passes through the points (1,7) and (4,1).North6s411WestEast112South4. What is the equation of the second line? Show how you found the equation.(Replace this text with your equation)(Replace this text with your work).

Answer 1

Given

(1,7) and (4,1)

$\begin{gathered} M=\frac{y_2-y_1}{x_2-x_1} \\ M=\text{ }\frac{1-7}{4-1} \\ M=-\frac{6}{3} \\ M=-2 \\ \\ y-y_1=m\mleft(x-x_1\mright) \\ y-7=-2(x-1) \\ y-7=-2x+2 \\ y=-2x+2+7 \\ y=-2x+9 \end{gathered}$

y=-2x+9