Grade 8 Mathematics

1. EQUATION OF
THE LINE
USINGTWO INTERCEPT FORM

2. Jessebel G. Bautista
Antonio J. Villegas Voc’l High School
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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: