1. LINES 1. SLOPE 2. GRAPHING LINEAR EQUATIONS 3. WRITINGLINEAR EQUATIONS
4. PARALLEL & PERPENDICULAR
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Created by ﺠﻴﻄ for mathlabsky.wordpress.com

2. Slope of a Line
Slope (gradient) is a ratio of the change in y (vertical change)
to the change in x ( horizontal change)
The slope, denoted by m, of the line through the points and
Is defined as follows: Y ● ●
Invers X

3. Find the slope of each segment (a, b, c and d)! 3 -5 6 -3 a b c d
Find the slope of each segment (a, b, c and d)!
Lines with positive slope rise to the right
Lines with negative slope fall to the right

4. k h Find the slope of line k and h! Slope of line 4 Slope of line 6 48

5. Linear equations can be written in different forms :
Standard form and slope-intercept form.
Form
Equation
Slope
Standard
Slope-intercept
Example :
Equation
Form
Slope
standard
standard
Slope-intercept
Slope-intercept
standard
Slope-intercept
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6. Y X Graphing Linear Equations
To draw the line we need two point determine a line.
We can find the X-intercept and Y-intercept. Y X
Example : graph the line 2x + 3y = 12
To find X-intercept, let y = 0
● (0 , 4)
Thus, (6 , 0) is a point on the line
To find Y-intercept, let x = 0 ●
(6 , 0)
Thus, (0 , 4) is a point on the line
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7. Writing Linear Equations
1. An equation of the line that passes through the point and has slope m is :
Example : Find an equation of the line through (1 , 3) and its slope 2
Solution :

8. 2. An equation of the line that passes through the point and is :
Example : Find an equation of the line through (-1 , 4) and (2 , -3)
Solution :
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9. Parallel and Perpendicular Lines
Two lines are parallel if and only if their slope equal
If slope k1 = m1 and slope k2 = m2
Parallel
Two lines are Perpendicular if and only if the product of
Their slope = -1
If slope h1 = m1 and slope h2 = m2
Perpendicular

10. Example : check the two lines parallel or perpendicular and
Solution : Let slope the first line is ,then
Let slope second line is , then
The line are not parallel
The line are Perpendicular

11. Exercise, check the two line parallel or perpendicular
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