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

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Answer 1 · 2016-03-07T17:01:30

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

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

Let $m$ be the gradient.

$m=("Change in up or down")/("Change in amount of along")$

$color(brown)("You always measure by moving from left to right.")$

Let the first point be $" "P_1 ->(x_1,y_1) -> (-8,-6)$
Let the second point be $P_2->(x_2,y_2)->(7,0)$

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

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