Writing and Graphing Linear Equations

Point Slope Form

100

Write the Point Slop Form

y - y1 = m ( x - x1)

200

Write an equation that passes through the point (4, -2) and has a slope of -1/3

What is y+2=-1/3(x-4)

300

Write an equation in point slope form of the line that passes through the given point and has the given slope. (4, -7) m = -3/4

y + 7 = -3/4 ( x - 4)

400

Deconstruct this equation to the regular Point Slope Format y+6 = 1/3 (x+9)

y - (-6) = 1/3 x - (-9)

500

The point slope form helps to graph what type of line quickly?

Linear Lines

Standard Form

100

Write the Standard Form 

Ax + Bx = C

200

What side of the equal sign should Ax and By be on?

Left Side

300

Change the equation to standard form y = -2x - 5

What is 2x + y = -5

400

Change to Standard form y = -1/2 x + 3

What is x + 2y = 6

500

Write the equation in Standard Form y = 2/3 x - 4

What is 2x-3y=12

Standard to Slope Intercept

100

Write in slope intercept form y = 6

y = 6

200

Write in slope intercept form 3x + 2y = 4 

y = -3/2 x + 4

300

Write in slope intercept form 2x - 3y = -6

y = 2/3 x + 2

400

Write in slope intercept form 16x + 9y = 40 

y = -16/9 x + 40/9

500

Write in slope intercept form 11x + 4y = 10

y = -11/4 x + 5/2

Definitions

100

In the Point Slope Form equation the "m" stands for ...

The slope 

200

Which of the following points lies on the line described by 

y - 1 = 5 (x - 2)

(2,1)

300

y2 - y1

----------

x2 - x1 

Describes which form?

Slope Form

400

How does the Point Slope Form help you graph quicker?

This form gives you the two points (x,y) you need and the slope (rise over run)

500

Describe all the forms:

Ax + By = C

y - y1 = m( x -x1)

y = mx + b 

Standard Form 

Point Slope Form 

Slope Intercept Form