Question

question 11
a line has a slope of -3/4. which of the following could be the change in y and change in x between two points on the line?
change in y = -4, change in x = 3
change in y = -3, change in x = 4
change in y = 3, change in x = 4
change in y = 3, change in x = -4

Explanation:

Step1: Recall slope formula

Slope $m = \frac{\text{Change in } y}{\text{Change in } x}$

Step2: Test Option 1

Calculate slope: $\frac{-4}{3}
eq -\frac{3}{4}$

Step3: Test Option 2

Calculate slope: $\frac{-3}{4} = -\frac{3}{4}$

Step4: Test Option 3

Calculate slope: $\frac{3}{4}
eq -\frac{3}{4}$

Step5: Test Option 4

Calculate slope: $\frac{3}{-4} = -\frac{3}{4}$

Answer:

Change in y = -3, change in x = 4
Change in y = 3, change in x = -4