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### point slope form

• 1. EQUATION OF THE LINE USING POINT-SLOPE FORM
• 2. Jessebel G. Bautista Antonio J. Villegas Voc’l High School My Profile
• 3. OBJECTIVES: 1.find the slope 2.use point-slope form 3.substitute the given values 4.find the equation of a line
• 4. Mathematical Concepts: The Point-Slope Form given a slope and a point of a line, we may find the equation by substituting their respective values in the point-slope form. y - y1 = m (x - x1)
• 5. EXAMPLE 1 Solution: Let x1 = -2 y1 = 3 m = 4 Given the slope and point. Use the point-slope form Find the equation of a line with slope of 4 and passing through the point (-2, 3). Express the equation in the slope-intercept form. y - 3 = 4(x - (-2)) y - 3 = 4(x + 2) y - 3 = 4x + 8 y = 4x + 11 y - y1 = m (x - x1)
• 6. EXAMPLE 2 Solution: Let x1 = 4 y1 = 5 m = - 𝟏 𝟐 Given the slope and a point. Use the point-slope form Find the equation of a line passing through the point (4, 5) with the slope of - 𝟏 𝟐 . Express the equation in the slope-intercept form. y - 5 = - 1 2 (x - 4) y - 5 = - 1 2 x + 2 y = - 𝟏 𝟐 x + 7 y - y1 = m (x - x1)
• 7. EXAMPLE 3 Solution: Let x1 = 3 y1 = -3 m = -5 Given the slope and a point. Use the point-slope form Find the equation of a line passing through the point (3 , -3) with the slope of – 5. Express the equation in the slope-intercept form. y - - 3 = -5(x - 3) y + 3 = -5x + 15 y = -5x + 12 y - y1 = m (x - x1)
• 8. TO DO … 1. m = 7 ; (2,2) 2. m = -4; (3,4) 3. m = 1; (-1,6) 4. m = -5; (3, -3) 5. m = 3; (7,1) 6. m = -1; (-4, -5) 7. m = 8; (-3,0) 8. m = 10; (6,6) 9. m = 1 2 ; (8, -2) 10. m = −2 3 ; (-6, -3) Write in the slope – intercept form of the equation of a line that has a slope m and that passes through the given point.