# What is the slope of the line passing through the following points: (–8, –6), (7,0) ?

Mar 7, 2016

gradient is$\frac{6}{15}$. As this is positive it means the graph 'slopes' upwards as you move from left to right.

#### Explanation:

The slope (proper name is gradient) is the amount of up or down for the amount of along.

Let $m$ be the gradient.

$m = \left(\text{Change in up or down")/("Change in amount of along}\right)$

$\textcolor{b r o w n}{\text{You always measure by moving from left to right.}}$

Let the first point be $\text{ } {P}_{1} \to \left({x}_{1} , {y}_{1}\right) \to \left(- 8 , - 6\right)$
Let the second point be ${P}_{2} \to \left({x}_{2} , {y}_{2}\right) \to \left(7 , 0\right)$

Change in up or down is change in $y$

y_("change") ->y_2-y_1" "=" "0-(-6) " "=" "0+6 " "=" "6

Change in along is change in $x$

x_("change")->x_2-x_1 = 7-(-8)" "=" "7+8" "=" "15

So " "m=(y_("change"))/(x_("change")) = 6/15