5.1 line segments on the cartesian...

Unit 5 Linear Equations Notes.notebook

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Unit 5: Linear Equations

5.1 Line Segments on the Cartesian Plane


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5.2 Slope as Rise Over Run

is a measure of the of the line segment.

It is the ratio of (change of vertical height between

count down.



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Lines 1 & 4 ____ Lines 2 & 5 ____ Lines 3 & 6 ____

has a __________ slope.

has a __________ slope.

Slope Tree


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Ex.) A line segment has a slope of and a rise of 12. Calculate the run as an exact value.

Ex.) How do you find a missing rise or run when given the slope


5.3 Slope Formula


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Consider the points A(5, -3), B(2, 6) and C(-7, 33).

a) Prove points A, B, and C are collinear.


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5.4 Parallel and Perpendicular Lines

Ex.)

Ex.)

Ex.)

with a slope of 3/4.

GH which is parallel to

BF which is .


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Ex.) If is the point (4, 7) and is the point (6, -2), find the slope of a line segment;

a) parallel to line segment

b) perpendicular to line segment


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5.5 Slope Y-Intercept Form

a) y = 3x + 2 b) y = 7 - 0.5x


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5.6 Writing Equations in y=mx+b Form


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5.7 General Form

a) y = 5x - 8 b) y = c) y= x + 4 5

a) 2x - 5y + 25 = 0 b) 6x + 2y - 15 = 0


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Ex.) Which of the following is/are perpendicular or parallel to the line 4x-2y+9=0?

i) 6x+3y-1=0 ii) x+2y-12=0


5.8 Slope-Point Form


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5.1 line segments on the cartesian...

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