Answer:
The slope of the required line is 1
Step-by-step explanation:
The Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The graph shows a line whose slope can be calculated by selecting two points it goes through. Let's pick points (0,0) and (2,-2). Thus the slope is:
[tex]\displaystyle m=\frac{-2-0}{2-0}=-1[/tex]
The slope (m') of a line that is perpendicular to the line in the graph can be found by using the equation:
m*m'=-1
Solving for m':
[tex]m'=-\frac{1}{m}=-\frac{1}{-1}=1[/tex]
Thus the slope of the required line is 1
