Unit 2 Slope and Lines

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ordered pair

(x,y)

Slope equation between two points

(y1 - y2) / (x1 - x2)

y=-2x-8 What is the slope?

-2

Standard form of a line with m = 3/2 b = -3

-3x + 2y = -6

Standard form of a line with m = 3/4 b = 2

-3x + 4y = 8

Standard form of a line with m = 4/5 b = 3

-4x + 5y = 15

y=2x-9 What is the y-intercept

-9

slope formula in standard form

-a/b

Standard form of a line with m = 1/3 b = 3

-x + 3y = 9

slope of horizontal line

0

Standard form of a line with m = -2/3 b = 0

2x + 3y = 0

Standard form of a line through (6, 0) (-9, 10)

2x + 3y = 12

Standard form of a line through (2, 0) (0, 4)

2x + y = 4

Standard form of a line with m = 2/3 b = -2

2x - 3y = 6

Standard form of a line with m = 2 b = 3

2x - y = -3

Standard form of a line with m = 2 b = -6

2x - y = 6

y=3x+2 What is the slope?

3

Standard form of a line with m = - 3/4 b = 9

3x + 4y = 36

Standard form of a line through (-2, 14) (0, 8)

3x + y = 8

Standard form of a line through (-8, -15) (-2, -6)

3x - 2y = 6

Standard form of a line through (0, -2) (3, 7)

3x - y = 2

Standard form of a line through (0, 12) (9, 0)

4x + 3y = 36

Standard form of a line through (10, -4) (5, 0)

4x + 5y = 20

Standard form of a line with m = 4/3 b = -4

4x - 3y = 12

y=6x+5 What is the y-intercept?

5

Standard form of a line with m = 5/2 b = 0

5x - 2y = 0

Standard form of a line through (3, -1) (4, 4)

5x - y = 16

Standard form of a line through (3, 13) (-4, -22)

5x - y = 2

Standard form of a line through (0, -8) (3, 0)

8x - 3y = 24

Slope (from a table)

Change in 'Y' over Change in 'X'

Is a point a solution of the line?

If the line goes through that point when graphed

On a table, how do you find b?

When x is zero

On a graph, how do you find b?

Where the line crosses the y axis

zero slope

a horizontal line

no slope

a vertical line

standard form

ax+by=c

y-intercept in standard form

c/b

slope

constant rate of change

y=x+5

equation of line thru (-1,4) and perpendicular to y=-x-4

y=3x-4

equation of line thru (1,-1) and parallel to y=3x+2

y=(2/5)x-(2/5)

equation of line thru (2,0) and perpendicular to y=-5x+3

y=-4x+7

equation of line thru (4,-9) and perpendicular to y=(1/4)x+2

y=5x-13

equation of line thru (4,7) and parallel to y=5x-3

y=(2/3)x-(10/3)

equation of line thru (5,0) and parallel to y=(2/3)x-4

What kind of line is: y = 4

horizontal line

y=mx+b

slope intercept equation of a line

slope of perpendicular lines

slope is opposite of the reciprocal

y=-(3/4)x-5

slope=-3/4; point (-8,1). Find the equation of line thru this point and the given slope.

y=2x-1

slope=2; point (-4,-9). Find the equation of line thru this point and the given slope.

y=5x+11

slope=5; point (-1,6). Find the equation of line thru this point and the given slope.

slope of parallel lines

slopes are equal

parallel lines

two lines that have the same slope

perpendicular lines

two lines whose slope is the opposite and the reciprocal

slope of vertical line

undefined

x-intercept

value of x when y = 0

y-intercept

value of y when x = 0

What kind of line is: x = 3

vertical line

What is the y-intercept

where the line crosses the 'y' axis

Standard form of a line with m = -1 b = 5

x + y = 5

Standard form of a line with m = 1/2 b = -3

x - 2y = 6

Standard form of a line with m = 1 b = -4

x - y = 4

Standard form of a line through (-2, -9) (3, -4)

x - y = 7

example of "y in terms of x"

y = 3x + 7

slope - intercept form

y = mx + b (m = slope, b = y-intercept)

b = (what does b stand for)

y-intercept

point - slope form

y-y1 = m (x - x1)

Slope (in words)

Rise over Run

m = (what does m stand for)

Slope

y=-2x+23

Slope=-2; point (10,3). Find the equation of line thru this point and the given slope.

y=7x-17

Slope=7; point(2,-3). Find the equation of line thru this point and the given slope.


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