Module 3:
Relations and Functions
Lesson 3:
Linear Functions
and
Its Application
Finding the
Equation of
the Line
The equation of a line can be determined
using the following formulae:
1. Slope- Intercept
Form
y = mx + b
I. Find the equation of the line given the
following slope (m) and y- intercept (b).
1. m = 2 and b = 4
2. m = -3 and b = 5
3. m = 1 and b = -3
4. m = -4 and b = 0
5. m = 0 and b = -2
The equation of a line can be determined
using the following formulae:
2. Point- Slope Form
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1 )
I. Find the equation of the line given the
following slope (m) and a point .
1. m = 2 and (0, 4)
2. m = -5 and (-3, 9)
3. m = 1 and (7, 2)
𝟐
𝟑
4. m = and (0, 8)
𝟏
𝟐
5. m = and
𝟏 𝟖
(− , )
𝟐 𝟑
The equation of a line can be determined
using the following formulae:
3. Two Point Form
y - 𝑦1 =
𝑦2 − 𝑦1
(x
𝑋2 − 𝑋1
- 𝑥1 )
I. Find the equation of the line given the
following slope (m) and a point .
1. (3, 4) and (4, 7)
2. (3. -1) and (6, 10)
3. (-1, 10) and (0, 5)
𝟐
4. ( , 1)
𝟑
and
𝟏𝟓 𝟏
5. (- , )
𝟐 𝟑
𝟏
(− , 2)
𝟐
and
𝟏 𝟏
(− , )
𝟐 𝟑
Quiz #1:
I. Find the equation of the line given the
following:
1. m = 6 and b = -7
𝟏
2. m = -1 and b =
𝟓
3. m = 3 and (3, -5)
𝟑
𝟒
4. m = and (-2, 2)
5. (8, 4) and (6, 10)