Slope, Equations, Graphing Lines

Slopes

100

What is the equation to slope intercept form

Y=mx+b

200

What is the slope of these coordinates (-3,7) (6,-8) 

What is -5/3 ?

300

Find the slope of this linear equation. 

2x + 5y = -15

What is -2/5 ?

400

What is the slope of these coordinates (3,7) , (4,6)

What is -1?

500

Write the equation of a line that runs (-3,2) and (0,2) in slope- intercept form.

2 - 2  = 0   m = 0

0 + 3    3

y - 2 = 0(x - 0) 

y = 2

What is y = 2?

Parallel & Perpendicular

100

What is the difference between parallel and perpendicular 

Perpendicular line intersect at a 90 degree angle while parallel lines never intersect or touch and have the same slope.

200

y=1/2x+2, y = -2x + 3

Parallel, Perpendicular, or Neither

Perpendicular

300

y=5x-2 , y=1/5x-1

Parallel or Perpendicular or Neither?

Neither :)

Slope would be - 1/5 to be perpendicular to 5 

400

y=2/3x+2 , y=-3/2x - 4

Parallel or Perpendicular

Perpendicular

500

Write a linear equation that is perpendicular to y = -1/3x - 4 and passes through (9,4) 

m = 3, x_{1 =} 9, y_{1 =} 4

y₁ - 4 = 3(x₁ - 9)

y₁ - 4 = 3x - 27

y₁  = 3x - 27 + 4

y₁  = 3x - 23

slope intercept form & writing || & Perpendicular lines

100

put in slope intercept form : 7+2x=y-x

y=3x+7

200

Put into slope intercept form

m=2 (-3,1)

y -1 = 2(x + 3)

y = 2x + 6 + 1

y = 2x + 7

300

Write an equation passing through the point and parallel to the given line.

(4,7) , y = 3x + 6

First find slope, next use the point slope equation 

y - y1 = m(x - x1) to write an equation in slope intercept form.

m = 3, x = 4, y = 7

y - 7 = 3(x - 4)

y -7 = 3x -12 

y = 3x - 5

400

Write an equation passing through the point and parallel to the given line.

(-4,-5) , y = 1/2x - 6

First find slope, next use the point slope equation 

y - y1 = m(x - x1) to write an equation in slope intercept form.

m = 1/2, y = -5 and x = -4

y + 5 = 1/2(x + 4)

y + 5 = 1/2x + 2

y = 1/2x -3

500

Write an equation passing through the point and PERPENDICULAR to the given line.

(-2, -2); y = -1/5x + 9

m = 5

y + 2 = 5(x + 2)

y + 2 = 5x + 10

y = 5x + 8

Graphing Lines

100

Y=3x+1

(0,1),(1,4)

200

Y=4x-3

(0,4),(1,1)

300

y=-2x-5

(0,-2),(1,-7)

400

Graph the linear equation y = 5/2x - 1. Identify the equation of the line graphed.

A. 2x + 5y = -5

B. 2x - 5y = 5

C. 5x + 2y = -2

D. 5x - 2y = 2

What is D?

5x - 2y = 2

-2y = -5x + 2, divide everything by -2 to get:

y = 5/2 x - 1 

500

4x=y+2

(0,2),(1,6)

Vocab

100

Parallel lines that never intersect or touch.

Parallel Lines

200

A set of coordinates that indicate a point.

 Ordered Pair

300

Where the line touches the y axis

y-intercept

400

An equation that graphs a straight line

Linear Equation

500

y-y₁=m(x-x₁)

Point slope form