This document discusses using the point-slope form to find the equation of a line given a slope and point. It provides the point-slope form equation, and examples of finding the line equation for different slopes and points. Exercises are provided for the reader to practice finding additional line equations using given slopes and points.

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.

9. SALAMAT PO!!!

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