The following questions will provide practice working with simple linear functions. All questions refer to a coordinate graph with the variable X on the horizontal axis and the variable Y on the vertical axis.

a. If two points on a straight line are (X = 3, Y = 2) and (X = 12, Y = 5), what is the slope of the line?

b. If point A is at (X = 20, Y = 20) and point B is at (X = 10, Y = 40), what is the slope of the straight line joining points A and B?

c. What is the slope of the function described by Y = 12 000 − 0.5X?

d. What is the slope of a line described by Y = 6.5X?

e. What is the slope of a line described by Y = 27 + 3.2

f. What is the Y-intercept of the function Y = 1000 + m

g. What is the Y-intercept of the function Y = −100 + 10

h. What is the X-intercept of the function Y = 10 − 0.1X