The Coordinate Plane Objective: Graph points on a coordinate plane.
Sec 3.7 Equations of Lines in the Coordinate Plane Chapter 3.
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Transcript of Sec 3.7 Equations of Lines in the Coordinate Plane Chapter 3.
Review
If two lines are cut by a transversal they form special properties. Corresponding angles Alternate interior angles Alternate exterior
angles Are congruent.
Are parallel
Same-side interior angles are supplementary.
Two lines to the same line are to each other.
In a plane, two lines to the same line are .
Lesson Purpose
Objective
Write an equation of a line given characteristics of parallel or perpendicular lines.
Essential Question
How can you prove that two lines are parallel?
A positive(+) slope:
If you go from left to right and you go up, it is a positive slope
Different types of slopesA negative(-) slope:
If you go from left to right and you go down, it is a negative slope
A zero (0) slope:
If you go from left to right and you don't go up or down, it is a zero slope
No Slope orSlope UndefinedVertical lines have no slope, or undefined slope.
Ski Bird cannot ski vertically. Sheer doom awaits Ski Bird at the bottom of a vertical hill.
Example #1 Let’s find the slope of
the line passing through the given points.
(2,3),(-1,-6)
Step 1: use slope equation:
Step 2: set up equation with points given:
Step 3: solve
What kind of slope is it?
Question #1
What is the slope of the line passing through the points (2, 7) and (21, 3)?
A. 2/7 B. 3/4 C. 4/3 D. 1/3
Question #2 What is the slope of the line passing
through the points (-2,-3) and (1, 3)?
A. 1/2 B. 2 C. -2 D. -1/2
The product of the slopes of two perpendicular lines is -1 or the slopes are negative reciprocal. Product means multiplication.
Slopes of Perpendicular Lines
Slope-Intercept Form -is an equation of a
non-vertical line is y=mx+b where m is the slope
and b is y-intercept
Example #3 Graph the equation of the line
y= ½x+2 Step 1: identify the slope
and y-intercept
Step 2 : plot your y- intercept
Step 3: connect the points