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Find the slope of the line that passes through the following sets of points. Write your answer in simplest form.

(0, 5) and (8, 2)

(2, -1) and (6, 1)

(-3, -2) and (-1, -5)

User Lmika
by
6.9k points

1 Answer

3 votes

Answer:


\bold{m_1=-\frac38}


\bold{m_2=\frac12}


\bold{m_3=-1\frac12}

Explanation:

The slope of the line passing through two given points:
m=(y_2-y_1)/(x_2-x_1)

(0, 5) ⇒ x₁ = 0, y₁ = 5

(8, 2) ⇒ x₂ = 8, y₂ = 2

So, the slope:


m_1=(2-5)/(8-0)=(-3)/(8)=-\frac38

(2, -1) ⇒ x₁ = 2, y₁ = -1

(6, 1) ⇒ x₂ = 6, y₂ = 1

The slope:


m_2=(1-(-1))/(6-2)=(2)/(4)=\frac12

(-3, -2) ⇒ x₁ = -3, y₁ = -2

(-1, -5) ⇒ x₂ = -1, y₂ = -5

The slope:


m_3=(-5-(-2))/(-1-(-3))=(-3)/(2)=-\frac32=-1\frac12

User Maksim Dmitriev
by
6.3k points
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