Question

Determine the slope of the line from the graph.

Answer 1

Based on the graph shown above, the slope of the line is equal to -1.

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 1 unit.

By substituting the given data points (0, 6) and (1, 5) into the formula for the slope of a line, the required slope can be determined as follows;

Slope (m) = (5 - 6)/(1 - 0)

Slope (m) = -1/1

Slope (m) = -1.

In conclusion, the slope of the line shown in the graph above is equal to -1.