3-7A Equations of Lines in the Coordinate Plane
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3-7A
Equations of Lines in the Coordinate Plane
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Learning Goals
1. To graph linear equations.
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Slope-Intercept Form
y = mx + b
m: slope of the lineb: y-axis intersection point
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slope (m) =
If it is a whole number,put it over 1.
example: y = -3x + 2
m = -3 = =
riserun
-31
3-1
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Slope
m = xx
yy
12
12
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Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
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Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
9 – 3-3 - -1
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Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
9 – 3-3 - -1
6 -2
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Find the slope of the points (-1, 3) and (-3, 9).
y2 – y1
x2 – x1
9 – 3-3 - -1
6 -2
=
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y-axis intercept (b)
Hits or crosses the y-axis at this point.
Coordinates of they-intercept: (0,b)
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slope = = 2
21
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slope = = 2
y-int. = +2
21
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slope = = 2
y-int. = +2
y = mx + b
21
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slope = = 2
y-int. = +2
y = mx + b
y = 2x + 2
21
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Special Lines
y = 2
Horizontalline passing
through (0,2) witha slope = 0.
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Special Lines
x = 2
Vertical line passing through
(2,0) with an undefined slope
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = ?
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
y =
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
y =37
x
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
y =37
5x -
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To find the slope put the equation in the form y = mx + b.
18x – 42y = 210 -18x -18x
-42y = -18x + 210-42 -42 -42
Slope = the number in front of x.
y =37
5x -
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To graph the line make surethe equation is in the
form y = mx + b.
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Graph the equation.-2x + 6y = 12
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Graph the equation.-2x + 6y = 12
y = x + 213
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Graph the equation.-2x + 6y = 12
y = x + 213
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Graph the equation.-2x + 6y = 12
y = x + 213
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Graph the equation.-2x + 6y = 12
y = x + 213
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Graph the equation.-2x + 6y = 12
y = x + 213
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Turn to page 193.
1, 2, 21
8-12, 16-20, 38-41, 64-66, 71-74
5 Points: 100% Complete 4 Points: 80% Complete 3 Points: 60% Complete 2 Points: 40% Complete
1 Point: 20% Complete