Question

Consider the segment shown in the graph with Point A (-4, -1) and Point B (-1, 3)

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10.
Rise =
Find the rise (change in the y value) between point A and B. Note: Ensure you have the
correct sign.
10
Enter your next step here

Answer 1

Based on the graph shown above, the rise (change in the y value) between point A and B is equal to 4.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

`Slope(m)=(y_2-y_1)/(x_2-x_1)`

Note: Each interval on the set of axes represent 5 units.

By substituting the given data points A (-4, -1) and B (-1, 3) into the formula for the slope of a line, the required slope can be determined as follows;

Slope (m) = (3 - (-1))/(-1 - (-4))

Slope (m) = (3 + 1)/(-1 + 4)

Slope (m) = 4/3

Since the rise (change in the y-value) is required, this is given by;

Rise (change in the y-value) = (3 - (-1))

Rise (change in the y-value) = (3 + 1)

Rise (change in the y-value) = 4.

In conclusion, the slope of the line shown in the graph above is equal to 4/3.