The gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
What is the gradient of a line?
The gradient of a line is the difference in the height of the y coordinates and the difference in the width of the coordinates. It can be calculated with the following formula.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of two points lies on the line.
In the given graph, the blue line passes through the point (3,0) and the form the point (-1,2). Thus, the gradient of the line is,
[tex]m=\dfrac{2-0}{-1-3}\\m=\dfrac{2}{-4}\\m=-\dfrac{1}{2}[/tex]
Thus, the gradient of the blue line which shown in the graph and passes from the point (3,0) and (-1,2) is -1/2.
Learn more about the gradient of a line here;
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