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### two intercept 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 intercept 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. (6, 0) and (0, -2) Solution: Let a = 6 b = -2 Use two intercept form since x and y intecepts are given. Find the equation of the line that passes through the following points. 𝑥 6 + 𝑦 −2 = 1 { 𝑥 6 + 𝑦 −2 = 1 } 6 x - 3y = 6 or -3y = -x + 6 y = 1 3 x + 2 𝑥 𝑎 + 𝑦 𝑏 = 1
• 8. EXAMPLE 2 2. (4, 0) and (0, 4) Solution: Let a = 4 b = 4 Use two intercept form since x and y intecepts are given. Find the equation of the line that passes through the following points. 𝑥 4 + 𝑦 4 = 1 { 𝑥 4 + 𝑦 4 = 1 } 4 x + y = 4 or y = -x + 4 𝑥 𝑎 + 𝑦 𝑏 = 1
• 9. EXAMPLE 3 3. (4,0) and (0, 2) Solution: a = 4 b = 2 Use two intercept form since x and y intecepts are given. Find the equation of the line that passes through the following points. 𝑥 4 + 𝑦 2 = 1 { 𝑥 4 + 𝑦 2 = 1 } 4 x + 2y = 4 𝑥 𝑎 + 𝑦 𝑏 = 1
• 10. TO DO … 1. (9,0) & (0, -5) 2. (3,0) & (0, 2) 3. (4,0) & (0,1) 4. (-7, 0) & (0, -3) 5. ( 4, 0) & (0, -2) 6. (8, 0) & (0, -3) 7. ( -5, 0) & (0 , 4) 8. (11, 0) & (0, -9) 9. (-6, 0) & (0, -2) 10. (4, 0) & (0, -6) Find the equation of the line that passes through the following points.