# Functions

## Minimize Slope

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a point (__, __) that minimizes the slope of the line that passes through the two points. The slope cannot be undefined. Source: Nanette Johnson (Problem Based on Andrew Constantinescu’s Problem) and Andrew Constantinescu

## Maximize Slope

Directions: Given the point (3,5), use digits 1-9, at most one time, to find a point (__, __) that maximizes the slope of the line that passes through the two points. The slope cannot be undefined. Source: Andrew Constantinescu

## Equivalent lines in slope-intercept and standard form

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to complete the statement below. Source: Andy Schwen

## Incorrect Linear Equations

Directions: Based on the graph of this line, write a linear equation that is incorrect. Write an a linear equation that could be correct. Source: Sam Olderbak

## Write a Linear Function

Directions: Using the digits 1 through 8 [You will use each number only once, except for one number that will be used twice in the same coordinate point. i.e.(1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7) or (8,8)], find three coordinate points that lie on the same line. Write the equation of the line represented by the three points and have …

## Linear Function from Table of Values

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to create a table of values that represent a linear function. Source: Robert Kaplinsky

## Slope

Directions: Write a linear equation that has a slope of -100. Source: Kara Colley

## X-Intercept

Directions: Write a linear equation that has an x-intercept of (-100, 0). Source: Kara Colley