ANSWER
y = -1/2x + 3
EXPLANATION
A line perpendicular to the given line has a slope that is opposite and reciprocal to the slope of the given line.
Let's find the slope of the line in the graph. The slope of a line passing through points (x1, y1) and (x2, y2) is,
[tex]m=\frac{y_1-y_2}{x_1-x_2}[/tex]
As we can see in the graph, the line passes through points (1, 3) and (0, 1). Its slope is,
[tex]m=\frac{3-1}{1-0}=2[/tex]
The opposite reciprocal of 2 is -1/2.
Hence, the equation of the line that is perpendicular to the line in the graph is y = -1/2x + 3.
