Find the slope of the line passing through the points −4, 9 and −8, 4.

To find the slope of the line passing through the points −4, 9 and −8, 4, we can use the formula for slope, which is given by:

slope = (y2 - y1) / (x2 - x1)

Let's assign the coordinates of the first point as (x1, y1) = (−4, 9) and the coordinates of the second point as (x2, y2) = (−8, 4).

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

slope = (4 - 9) / (−8 - (−4))

Simplifying further:

slope = (4 - 9) / (−8 + 4) slope = -5 / -4

Finally, we can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 1:

slope = 5 / 4

Therefore, the slope of the line passing through the points −4, 9 and −8, 4 is 5/4.