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Exercises: Finding line equations

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

$A (5 | 7)$ , $B (- 3 | 8)$

For this task you need the following basic knowledge: Slope/Gradient of a Line
$A (5 | 7), B (- 3 | 8)$
Insert the points into the difference quotient for the line.
$m$ $=$ $\frac{8 - 7}{- 3 - 5}$
↓
Simplify numerator and denominator
$m$ $=$ $\frac{1}{- 8}$
$m$ $=$ $- \frac{1}{8}$
The gradient of the line is $m = - \frac{1}{8}$ .
$A (1 | 2)$ , $B (3 | 4)$

For this task you need the following basic knowledge: Slope/Gradient of a Line
$A (1 | 2), B (3 | 4)$
Insert the points into the difference quotient for the line.
$m$ $=$ $\frac{4 - 2}{3 - 1}$
↓
Simplify numerator and denominator
$m$ $=$ $\frac{2}{2}$
$m$ $=$ $1$
The gradient of the line is m = 1.

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