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Find the slope of the line that is perpendicular to the line that passes through the following pair of points: (12, -16) and (-2, -11)

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,First we need to find the slope of the line that passes through (12, -16) and (-2, -11)​

the slope can be calculated using these points

(12, -16)=(x1,y1)

(-2, -11)​=(x2,y2)

the formula to calculate the slope is


m=(y_2-y_1)/(x_2-x_1)

we substitute the values


m=(-11+16)/(-2+12)=(5)/(10)=(1)/(2)

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m

so if m=1/2

the slope of a perpendicular line will be m=-2

User Ramtin
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