# Chapter 1 - Linear Functions - 1.1 Slopes and Equations of Lines - 1.1 Exercises - Page 13: 35

$A(4,3)$,$B(2,0)$,$C(-18,-12)$ $M_{AC}=\frac{-12-3}{-18-4}$ $M_{AC}=\frac{-15}{-22}\approx0.68$ $M_{AB}=\frac{0-3}{2-4}$ $M_{AB}=\frac{-3}{-2}\approx1.5$ Points are not on the same line, because the slopes between the respective points are not equal.

#### Work Step by Step

Step 1: Use the gradient equation $M=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ Step 2: Solve the gradient between points A and C Step 3: Solve the gradient between points A and B Step 4: Points are not on the same line, because the slopes between the respective points are not equal.

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