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EQUATION OF
THE LINE
USING POINT-SLOPE FORM
Jessebel G. Bautista
Antonio J. Villegas Voc’l High School
My
Profile
OBJECTIVES:
1.find the slope
2.use point-slope form
3.substitute the given
values
4.find the equation of a
line
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)
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)
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)
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)
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.
SALAMAT PO!!!
Learning Resources:
Grade 8 Math Time
k-to-12-grade-8-math-learner-module
Learning Resources:

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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.
  • 10. Learning Resources: Grade 8 Math Time k-to-12-grade-8-math-learner-module Learning Resources: