1. Writing Linear Equations
Writing Linear Equations Given Two Points
Section 5.3
Writing Linear Equations
Given Two Points
Goal: Write an equation of a line given two points on the
line.

2. Writing Linear Equations Given Two Points

3. (5, –6) ; (3, –2) (5, –6) y – y1 = m(x – x1) y – (–6) = –2(x – 5)
How to write the equation of a line given two points:
(5, –6) ; (3, –2)
y – y1 = m(x – x1)
y – (–2) = –2(x – 3)
y + 2 = –2x + 6
– –2
y = –2x + 4
(5, –6)
y – (–6) = –2(x – 5)
y + 6 = –2x + 10
– –6
y = –2x + 4

4. (1, 1) ; (7, 4)
y – y1 = m(x – x1)
y – 1 = (x – 1)
y – 1 = x –
y = x +

5. How to write the equation of Horizontal and Vertical Lines:
Write the equation of a horizontal line that passes through (6, –3)
y = #
y = – 3
Write the equation of a vertical line that passes through (–2, 4)
x = #
x = – 2

6. Homework Assignment #18
5.3 Practice A Sheet