Answer: the original slope is 3/2
The perpendicular slope is -2/3
Slope is rise/run
Step-by-step explanation: For the original slope get
Find coordinates where the graphed line crosses the grid lines at the intersections. Here, (0,-2) and (2,1) Count the number of squares vertically. That is the rise. It is the difference in y-values. It is the numerator of the fraction. Then count the squares horizontally to get the run. That is the denominator of the fraction.
It is possible to use the expression [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to calculate the slope.
[tex]\frac{1-(-2)}{2-0} = 3/2[/tex]
To find the perpendicular slope, reverse the sign and use the reciprocal of the original fraction.
The reciprocal of 3/2 is 2/3. The opposite sign is negative. -2/3
