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
to calculate the slope.
![(1-(-2))/(2-0) = 3/2](https://img.qammunity.org/2021/formulas/mathematics/high-school/l09bhqr6t69ynymifk4tx04z5w2pgng469.png)
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