Answer: [tex]m=1[/tex]
Step-by-step explanation:
For this exercise you can use the following formula for calculate the slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case you know that the given line passes through the points (-3,0) and (1.4). Therefore you can identify that:
[tex]y_2=0\\y_1=4\\\\x_2=-3\\x_1=1[/tex]
Then, in order to calculate the slope of this line, you must substitute the coordinates of the points into the formula:
[tex]m=\frac{0-4}{-3-1}[/tex]
Finally, evaluating, you get that the slope of this line is the following:
[tex]m=\frac{-4}{-4}\\\\m=1[/tex]
