Finding the Equation of a Linear Function, Given Two Points

Overview This set of tutorials provides 29 examples of deriving the equation of a Linear Function, given two points. In each case, the slope formula is used to find the slope of the line connecting the two points. Then we use the point-slope form to find the equation.

Example 1: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 1, positive slope.

Example 2: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 1, negative slope.

Example 3: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 1, zero slope.

Example 4: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 1, no slope.

Example 5: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 2, positive slope.

Example 6: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 2, negative slope.

Example 7: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 2, zero slope.

Example 8: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 2, no slope.

Example 9: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 3, positive slope.

Example 10: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 3, negative slope.

Example 11: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 3, zero slope.

Example 12: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 3, no slope.

Example 13: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 4, positive slope.

Example 14: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 4, negative slope.

Example 15: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 4, zero slope.

Example 16: Finding the equation of a line, given two points, under these conditions: Both points in Quadrant 4, no slope.

Example 17: Finding the equation of a line, given two points, under these conditions: One point in Q1, one point in Q2, positive slope.

Example 18: Finding the equation of a line, given two points, under these conditions: One point in Q1, one point in Q2, negative slope.

Example 19: Finding the equation of a line, given two points, under these conditions: One point in Q1, one point in Q2, zero slope.

Example 20: Finding the equation of a line, given two points, under these conditions: One point in Q1, one point in Q3, positive slope.

Example 21: Finding the equation of a line, given two points, under these conditions: One point in Q1, one point in Q4, positive slope.

Example 22: Finding the equation of a line, given two points, under these conditions: One point in Q1, one point in Q4, negative slope.

Example 23: Finding the equation of a line, given two points, under these conditions: One point in Q1, one point in Q3, no slope.

Example 24: Finding the equation of a line, given two points, under these conditions: One point in Q2, one point in Q3, positive slope.

Example 25: Finding the equation of a line, given two points, under these conditions: One point in Q2, one point in Q3, negative slope.

Example 26: Finding the equation of a line, given two points, under these conditions: One point in Q2, one point in Q3, no slope.

Example 27: Finding the equation of a line, given two points, under these conditions: One point in Q3, one point in Q4, positive slope.

Example 28: Finding the equation of a line, given two points, under these conditions: One point in Q3, one point in Q4, negative slope.

Example 29: Finding the equation of a line, given two points, under these conditions: One point in Q3, one point in Q4, zero slope.