Question

Jasmine began completing the table below to represent a particular linear function.

a. Complete the table and find the rate of change for the function

Rate of change:

b. Create a graph and write an equation to represent this function

Answer 1

Explanation:

Rate of change = Slope of line

Use the coordinates of two points to find the slope of the line.

Slope of line through (2,5) and (0,1) = (5-1)/(2-0) = 2

(0,1) is a point on the line, so the y-intercept is 1.

Slope-intercept equation of the line: y = 2x+1

Use the equation to fill in the rest of the table:

x = -2, y = -3

x = ½, y = 2

x = 1, y = 3

x = 3, y = 7