Chapter 5.1.  Lesson Objective: NCSCOS 4.01 – Students will know how to find the slope of a line  Students will know how to find the equation of a line.

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Presentation transcript:

Chapter 5.1

 Lesson Objective: NCSCOS 4.01 – Students will know how to find the slope of a line  Students will know how to find the equation of a line given 2 points

 Example 1: Find the equation of a line that passes through the points (3, 5) and (6, 2)  The equation of a line is:  We always have to find the slope first!

 The equation to find slope is:  In order to find slope, we’re going to need to ordered pairs (points)

 Find the slope of the line using the two points (3, 5) and (6, 2)  To solve this problem, we have to label our two points.  It doesn’t matter which point you label x1 and which one x2

 Plug the points into the slope equation

 Simplify the top and the bottom  Simplify the fraction

 m = -1, so the slope for these two points is -1

 Once you know slope, plug it into the equation:  To find b we have to plug in one of the points  It doesn’t matter which point, if they are both on the same line, they will both work for this equation

 Plug in one of the points Multiply on the right side Add 3 to both sides Plug b back into the equation

1. (1, 3), (2, 7) 2. (6, 3), (7, -4) 3. (6, -2), (5, -4) 4. (7, -4), (4, 8) 5. (12, 2), (-6, 5) Find the equation using the following points

1. (1, 3), (2, 7) 2. (6, 3), (7, -4) 3. (6, -2), (5, -4) 4. (7, -4), (4, 8) 5. (12, 2), (-6, 5) Find the equation using the following points

 Example: Find the equation of the line A.  In order to find slope, you need two points  Find two points on the line  Plug the points into the slope equation A (-1, -3) (1, 1)

 Label the points and write the equation (-1, -3) (1, 1) (-1, -3) x 1, y 1 x 2, y 2

 Plug the slope into a new equation Plug in one of the points Multiply on the right side Subtract 2 from both sides Plug b back into the equation

1. Find the equation of Line A 2. Line B 3. Line C 4. Line D D C B A

1. Find the equation: (5, 2), (3, -4) 2. (-1, 6), (7, -10) 3. (0, 2), (1, 7) 4. (-2, -1), (2, 11) 5. (10, -1), (4, 2)

1. Find the equation: (5, 2), (3, -4) y = 3x – (-1, 6), (7, -10) y = -2x (0, 2), (1, 7) y = 5x (-2, -1), (2, 11) y = 3x (10, -1), (4, 2) y = -1/2x + 4