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Naya [18.7K]
3 years ago
10

To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why o

r why not? What does that mean about the slope between points E and A and the slope between the points A and C?

Mathematics
1 answer:
RoseWind [281]3 years ago
7 0

Answer:

Slope(EA)=Slope(AC)=\dfrac{2}{3}....Equation is True

Slopes are EQUAL for

  1. SAME Line

Hence, E-A-C is the same Line.

Step-by-step explanation:

Given:

The three points for the given line are

point E( x₁ , y₁) ≡ ( -6 ,-4)

point A( x₂ , y₂) ≡ (0 , 0) .....Origin

point C(x₃ , y₃ ) ≡ (3 ,  2)

To Find:

Slope EA = ?

Slope AC = ?

Solution:

For Two point Slope is given as

Slope=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }

Substituting the values we get

Slope(EA)=\dfrac{0--4}{0--6}=\dfrac{4}{6}=\dfrac{2}{3}

Similarly For AC we have,

Slope(AC)=\dfrac{2-0}{3-0}=\dfrac{2}{3}

Therefore,

Slope(EA)=Slope(AC)....Equation is True

Slopes are EQUAL for

  1. Line is Parallel
  2. SAME Line

Hence, E-A-C is the same Line.

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