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4 votes
the point-slope form of the equation below that represents the line that passes through the points (−3, 2) and (2, 1).

User Jalakoo
by
6.7k points

1 Answer

2 votes

Answer:


\large\boxed{for\ (-3,\ 2):\ y-2=-(1)/(5)(x+3)}\\\boxed{for\ (2,\ 1):\ y-1=-(1)/(5)(x-2)}

Explanation:

The point-slope form of an equation of a line:


y-y_1=m(x-x_1)

m - slope

The formula of a slope:


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

========================================

We have the points (-3, 2) and (2, 1).

Substitute:


m=(1-2)/(2-(-3))=(-1)/(5)=-(1)/(5)

for (-3, 2)


y-2=-(1)/(5)(x-(-3))\\\\y-2=-(1)/(5)(x+3)

for (2, 1)


y-1=-(1)/(5)(x-2)

User Qubit
by
6.5k points
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