Question

What is the slope of the line shown? There are two points shown, (-4,5),(8,-5). Show every step

Answer 1

To find the slope of a line, we use the formula:

slope = (change in y-coordinates) / (change in x-coordinates)

Given the two points (-4,5) and (8,-5), we can calculate the change in y-coordinates and change in x-coordinates as follows:

Change in y-coordinates = y-coordinate of second point - y-coordinate of first point
= -5 - 5
= -10

Change in x-coordinates = x-coordinate of second point - x-coordinate of first point
= 8 - (-4)
= 12

Now, we can substitute these values into the formula for slope:

slope = (-10) / 12

Next, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 2:

slope = (-10) / 12
= -5 / 6

Therefore, the slope of the line shown is -5/6.