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### High School Mathematics - 29.9 The Point Slope Form of a Line

 The equation of a line passing through a point P(x1 , y1) having a slope m is (y - y1) = m(x - x1). This form of a line is called the Point-Slope form. Example: Find the equation of a line passing through (3,5) having a slope 3. Solution: Given that slope is 3 i.e., m = 3 A point on the line is (3,5) Using the point slope form equation, i.e., (y - y1) = m(x - x1). y - 5 = 3(x - 3) y - 5 = 3x - 9 y = 3x - 9 + 5 y = 3x - 4 Therefore, y = 3x -4 is the required equation of the line. Directions: Solve the following questions. Also write at least 10 examples of your own.
 Q 1: Find the equation of a line passing through (5,7) having a slope 4.y = 4x + 8y = 4x + 7y = 4x + 13y = 4x - 13 Q 2: Find the equation of a line passing through (5,8) having a slope 4.y = 4x + 12y = 4x + 6y = 4x - 12y = 4x - 6 Q 3: Find the equation of a line passing through (7,8) having a slope 3.y = 3x + 13y = 3x - 8y = 3x + 5y = 3x - 13 Q 4: Find the equation of a line passing through (3,8) having a slope 6.y = 6x + 8y = 6x - 10y = 6x + 10y = 6x - 7 Q 5: Find the equation of a line passing through (3,9) having a slope 3.y = 3xy = 3x + 9y = 3x - 9 Q 6: Find the equation of a line passing through (3,7) having a slope 2.y = 2x + 3y = 2x - 1y = 2x + 1 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!