Question

A line is drawn so that it passes through the points (-3,0) and (1.4). What is the slope of the line?

Answer 1

Answer: $m=1$

Step-by-step explanation:

For this exercise you can use the following formula for calculate the slope:

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case you know that the given line passes through the points (-3,0) and (1.4). Therefore you can identify that:

$y_2=0\\y_1=4\\\\x_2=-3\\x_1=1$

Then, in order to calculate the slope of this line, you must substitute the coordinates of the points into the formula:

$m=\frac{0-4}{-3-1}$

Finally, evaluating, you get that the slope of this line is the following:

$m=\frac{-4}{-4}\\\\m=1$