Question

What is the slope of g(x)?

help me out please

Answer 1

Based on the graph, the slope of the given line for g(x) is equal to 4.

In Mathematics and Euclidean 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 with the origin (0, 0) marked in red.

By substituting the given data points (0, 3) and (-2, -5) into the formula, the slope of the graph of g(x) is given by;

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

Slope (m) = (-5 - 3)/(-2 - 0)

Slope (m) = -8/-2

Slope (m) = 4

In conclusion, we can logically deduce that the slope of the given line representing g(x) is equal to 4.

Complete Question:

What is the slope of g(x)?