Find the slope of the line that is shown on the graph.
The slope of the line can be found with the following formula:
[tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]
The line goes through points (0,3) and (3,2). Plug these values into the formula:
[tex]\frac{2-3}{3-0} = \frac{-1}{3} = -\frac{1}{3}[/tex]
The slope of this line will be -1/3.
For a line to be perpendicular to another, both lines' slopes must be negative reciprocals of each other.
The negative reciprocal can be found by flipping the numerator and denominator of a slope, and multiplying by -1:
[tex]\text{Reciprocal of -1/3 = -3/1 = -3}[/tex]
[tex]-3 \times -1 = \boxed{3}[/tex]
The slope of the perpendicular line will be 3.
