To see if the slopes are the same, write an equation setting the two fractions equal to each other. is this equation true? why or why not? what does that mean about the slope between points e and a and the slope between the points a and c?

....Equation is True

Slopes are EQUAL for

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

Substituting the values we get

Similarly For AC we have,

Therefore,

....Equation is True

Slopes are EQUAL for

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

2/3

Equation is True

Slopes are EQUAL for

SAME Line

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

Step-by-step explanation: