Linear Equations

Question 1

Slope Intercept Form

Answer 1

y = mx + b

where
1. x and y are every/any ordered pair (coordinate)
2. m is the slope
3. b is the y-intercept

Question 2

Point-Slope Form

Answer 2

y - y1 = m(x - x1)

where
1. x and y are every/any ordered pair (coordinate)
2. m is the slope
3. x1 and y1 are the GIVEN point.

Question 3

Standard Form

Answer 3

Ax + By = C

where:
1. x and y are every/any ordered pair (coordinate)
2. A is an INTEGER
3. B is an INTEGER
4. C is an INTEGER

Question 4

Graphing slope intercept form

Answer 4

1. identify the y-intercept.
   Put that point on your coordinate plane
2. identify the slope AS A FRACTION
   graph rise/run from the y-intercept already placed

Question 5

Graphing Point-Slope form

Answer 5

1. identify the given point
   Remember the given point is x1, y1
   Put that point on coordinate plane

2.2. identify the slope AS A FRACTION
graph rise/run from given point already placed

Question 6

Graphing Standard Form

Answer 6

1. replace 0 for y to find the x-intercept
   put that point on coordinate plane
2. replace 0 for x to find the y-intercept
   put that point on coordinate plane
3. Draw the line through these two points

Question 7

Writing a linear equation in slope intercept form

Answer 7

To WRITE a linear equation in slope intercept form, we need to be given information:
The slope
The y-intercept

EXAMPLE:
Slope = 1/3
y intercept = 4

equation:
y = 1/3x + 4

Question 8

Writing a linear equation in point-slope form

Answer 8

To WRITE a linear equation in point-slope form, we need to be given information:
The slope
One point

EXAMPLE:
Slope = 1/4
Given Point = (6, 7)

equation:
y - 7 = 1/4(x -6)

Question 9

Converting slope intercept form into standard form

Answer 9

Question 10

Converting Point-Slope form into Slope intercept form

Answer 10

Question 11

Lattice Points

Answer 11

x and y are integers
they fall directly in the crosshairs of your graph