Question

What is the slope of a line with the points shown below? Enter your answer as a decimal rounded to the nearest hundredth if necessary.

(9,20) (-4,-11)

Provide the formula and calculation for the slope. Show relevant values substituted into the formula and all steps involved in simplifying the formula. Write it as an 11 grader would, thank you.

Answer 1

Slope formula: m = (y2 − y1) / (x2 − x1)

Let (x1,y1) = (9, 20) and (x2,y2) = (−4, −11).

Substitute the values:
m = (−11 − 20) / (−4 − 9)

Compute numerator and denominator:
m = (−31) / (−13)

Negatives cancel:
m = 31/13

As a decimal: 31 ÷ 13 = 2.384615...

Rounded to the nearest hundredth:
m ≈ 2.38

Answer: slope = 31/13 ≈ 2.38.