Answer:
<em>The slope of the line perpendicular to the graphed line is 2.</em>
Step-by-step explanation:
<u>The Slope of a Line</u>
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
The graphed line passes through two visible points (0,4) and (8,0). Thus, its slope is:
Simplifying:
Two lines of slopes m1 and m2 are perpendicular is:
Suposse the given line has slope . To find m2, we solve the above equation:
Substituting:
Operating
The slope of the line perpendicular to the graphed line is 2.