Question

Select the correct rate of change and y -intercept for the linear function that contains the points (4, 6) and (5, 3). Question 1 options: The rate of change is 3, and the y -intercept is –6. The rate of change is –3, and the y -intercept is 18. The rate of change is −1/3 and the y intercept is 7 1/3 The rate of change is 1/3 and the y intercept is 4 2/3

Answer 1

First of all, the rate of change is simply the slope. You can find the slope by dividing the y values of the given points over the x values to get a slope of -3. Then you can use the point-slope formula to find your y-intercept. It should be (0,18). So, to answer your question it should be the second choice.