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### equation of the line using two point form

• 1. EQUATION OF THE LINE USING TWO POINT FORM
• 2. Jessebel G. Bautista Antonio J. Villegas Voc’l High School My Profile
• 3. OBJECTIVES: 1.determine the values of the variables 2.use two point form 3.substitute the given values 4.find the equation of a line
• 4. Mathematical Concepts: Two Intercept Form where a and b are x and y intercepts of the line respectively. 𝑥 𝑎 + 𝑦 𝑏 = 1
• 5. 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)
• 6. Mathematical Concepts: The Two-Point Form given two points of a line determine the values of x1, y1, x2, and y2 then substitute it to the two-point form to find the equation of the line. y - y1 = 𝒚 𝟐−𝒚 𝟏 𝒙 𝟐−𝒙 𝟏 (x - x1)
• 7. EXAMPLE 1 1. (8, 5), (6, 1) Solution: Let x1 = 8 x2 = 6 y1 = 5 y2 = 1 Substitute assigned values to the two-point form. Find the equation of a line that passes through the following points. Express the equation in the slope-intercept form. y - 5 = 1−5 6−8 (x - 8) y - 5 = −4 −2 (x - 8) y - 5 = 2(x - 8) y - 5 = 2x - 16 y = 2x -11 y - y1 = 𝒚 𝟐−𝒚 𝟏 𝒙 𝟐−𝒙 𝟏 (x - x1)
• 8. EXAMPLE 2 2. (5, 6), (7, -4) Solution: Let x1 = 5 x2 = 7 y1 = 6 y2 = -4 Substitute assigned values to the two-point form. Find the equation of a line that passes through the following points. Express the equation in the slope-intercept form. y - 6 = −4−6 7−5 (x - 5) y - 6 = −10 2 (x - 5) y - 6 = -5(x - 5) y - 6 = -5x + 25 y = -5x + 31 y - y1 = 𝒚 𝟐−𝒚 𝟏 𝒙 𝟐−𝒙 𝟏 (x - x1)
• 9. EXAMPLE 3 3. (5, 3), (3, 1) Solution: Let x1 = 5 x2 = 3 y1 = 3 y2 = 1 Substitute assigned values to the two-point form. Find the equation of a line that passes through the following points. Express the equation in the slope-intercept form. y - 5 = 1−3 3−5 (x - 5) y - 5 = −2 −2 (x - 5) y - 5 = 1(x - 5) y - 5 = x - 5 y = x + 0 y = x y - y1 = 𝒚 𝟐−𝒚 𝟏 𝒙 𝟐−𝒙 𝟏 (x - x1)
• 10. TO DO … 1. (9,6) & (7, -5) 2. (0,3) & (1,0) 3. (4,3) & (2,1) 4. (-7, 1) & (1, -3) 5. ( 4, -3) & (-2, 1) 6. (8, 6) & (8, -3) 7. ( -5, 1) & (-6 , 4) 8. (11, -7) & (6, -9) 9. (-6, -4) & (-10, -2) 10. (4, -6) & (1, -6) Find the equation of the line that passes through the following given points. Express the equation in slope-intercept form.
• 12. Learning Resources: Grade 8 Math Time k-to-12-grade-8-math-learner-module Learning Resources:
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