Construct a Linear Function from Two Points

The height of a falling rock is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

The growth rate of a Saint Bernard puppy is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

Dan is on a backpacking trip. His distance from the trailhead is shown on the graph. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

The table shows the amount of flour remaining after baking loaves of banana bread. Assume the relationship between the two quantities is linear. Find and interpret the rate of change and initial value. Then write the equation of the function in the form y = mx + b

Write a linear function f with the values f(0) = 6 and f(4) = -6.

• f(x) = -3x + 6

• f(x) = -6

• f(x) = 3x - 6

• f(x) = 3x + 6

What is an equation for the line that passes through the coordinates (2,0) and (0,3) ?

• y = (-1/2)x + 3

• y = 3x - (1/2)

• y = 2x + 3

• y = 3x - 2

Write the linear equation in y = mx + b form using the given points.

• y = 7/5x - 3

• y = 5/7x - 3

• y = 5/7x + 3

• y = -7/5x - 3

What is an equation for the line that passes through the coordinates (2,7) and (0, 1)?

• y = 3x + 1

• y = 1x + 3

• y = x - 3

• y = -x + 3

Mathematical Equivalence

ON

When given two points and asked to write an equation, what is your first step?

• Find the slope

• Find the y-intercept

• Find the x-intercept

• Write the equation