Exercises: Finding line equations

Calculate the gradient of the straight line through the given points.

$A (5 ∣ 7)$ , $B (- 3 ∣ 8)$

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$\displaystyle m$	$=$	$\displaystyle \frac{8-7}{-3-5}$
	↓	Simplify numerator and denominator
$\displaystyle m$	$=$	$\displaystyle \frac{1}{-8}$
$\displaystyle m$	$=$	$\displaystyle - \frac18$

$\displaystyle m$	$=$	$\displaystyle \frac{4-2}{3-1}$
	↓	Simplify numerator and denominator
$\displaystyle m$	$=$	$\displaystyle \frac22$
$\displaystyle m$	$=$	$\displaystyle 1$

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