The gradient of the blue line given in the graph is 4 and this can be determined by using the slope intercept form and point slope form of the line.
Given :
The graph of the line is given.
The following steps can be used to determine the equation of a line given in the graph:
Step 1 - First determine the points through which the line passes through that is:
Points - (4,0) and (6,8)
Step 2 - Use the point-slope form of the line which is given by the equation:
[tex]\dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are the point on the line.
Step 3 - Substitute the value of the points in the above equation.
[tex]\dfrac{y-0}{x-4}=\dfrac{8-0}{6-4}[/tex]
Cross multiply in the above equation.
2y = 8(x - 4)
y = 4x - 16
Step 4 - Now, compare the above equation with slope-intercept form.
m = 4
For more information, refer to the link given below:
https://brainly.com/question/21835898
