What is the slope of the line through points (0,0) and (5,10)?

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Answer 1 · 2017-02-08T14:09:20

$m = 2$ $m =2$

The slope of a line is defined as $\frac{vertical change}{horizontal change}$ $"vertical change"/"horizontal change"$

In maths we usually write this as $m = (Delta y)/(Delta x)$ , or informally as $"rise"/"run"$

If you regard $(0,0)$ as the point of reference, you will see that the other point has a y-value of 10, and an x-value of 5.

These values indicate the changes have that have happened without us having to do any work.

From 0 to 10 is a change of 10
From 0 to 5 is a change of 5

$m = 10/5 = 2$

We can also use the formula $m = (y_2-y_1)/(x_2-x_1)$

$m = (10-0)/(5-0) = 10/5 = 2$

A slope of 2, or "2 in 1" means that every horizontal unit (to the right) has 2 vertical units (upwards) associated with it.