# How do you find the slope given A(2, -4) and B(4, 7)?

##### 2 Answers

Slope =

#### Explanation:

The slope, gradient or steepness of a line is defined as:

The

If you have any two points on a line you can find the slope of the line between them by using the formula:

We have

The slope is left in this form. This slope represents a very steep line which has a vertical increase of 11 for a horizontal change of only 2.

The line with this slope through the given points is shown below:

graph{y = 11/2x -15 [-44.56, 115.54, -32.3, 47.7]}

#### Explanation:

The slop (gradient) is the amount up or down for a given amount of along reading left to right on the x-axis.

If the slop is like going up a hill then it is positive. On the other hand if it is like going down a hill then it is negative.

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Looking at the x's; the left most point is A as 2 is less than 4.

So we read from point A to point B

Let point 1 be

Let point 2 be

The gradient

Some people write this as

As positive it means the 'slope' is upwards reading left to right.