The document discusses using the two intercept form to find the equation of a line given two points. It provides the two intercept form equation, where a and b are the x and y intercepts. It then works through three examples of finding the line equation using two points and the two intercept form. It lists additional practice problems and their solutions for finding line equations using two points and the two intercept form.

1. EQUATION OF
THE LINE
USINGTWO 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.

11. SALAMAT PO!!!

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