Question

consider the following three points. (-3,1),(0,2),(5,3) step 3 of 3 : determine whether the three points are collinear or not collinear.

Explanation:

Step1: Calculate slope between (-3,1) and (0,2)

Slope formula: $m = \frac{y_2 - y_1}{x_2 - x_1}$
$m_1 = \frac{2 - 1}{0 - (-3)} = \frac{1}{3}$

Step2: Calculate slope between (0,2) and (5,3)

$m_2 = \frac{3 - 2}{5 - 0} = \frac{1}{5}$

Step3: Compare slopes

$m_1
eq m_2$ (since $\frac{1}{3}
eq \frac{1}{5}$), so points are not collinear.

Answer:

Not Collinear