A brief explanation on how to write an equation of a straight line using its point-slope form.

1. Point-slope Form Straight Lines

2. Point-slope Form If you know that the slope of a line is m and know any point ( x 1 , y 1 ) Then, the point-slope equation of that line is y - y 1 = m (x – x 1 ) A B X Y (x 2 , y 2 ) (x 1 , y 1 ) y = b

3. Point-slope Form - Example slope m = -3 Point ( 1, 1 ) Point-slope equation: y - 1 = -3 (x – 1) A B X Y (1, 1) m = -3

4. Point-slope Form - Example (0, 5 ), (-2, 1) slope m = (5 - 1) / (0 + 2) = 2 Point-slope form 1: y - 5 = 2x Point-slope form 2: y - 1 = 2(x + 2) A B X Y (0, 5) (-2, 1) y = 5

5. Point-slope Form - Example slope: m = 6/2 = 3 Point-slope form 1: y - 7 = 3x Point-slope form 2: y - 1 = 3(x + 2) A B X Y (0, 7) (-2, 1) y = 7

6. Straight-Line Calculator For an online calculator for straight lines, see: matrixlab - examples.com / equation - of -a- straight - line.html