Linear Equations Flashcards
Slope Intercept Form
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
Point-Slope Form
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.
Standard Form
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
Graphing slope intercept form
- identify the y-intercept.
Put that point on your coordinate plane - identify the slope AS A FRACTION
graph rise/run from the y-intercept already placed
Graphing Point-Slope form
- 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
Graphing Standard Form
- replace 0 for y to find the x-intercept
put that point on coordinate plane - replace 0 for x to find the y-intercept
put that point on coordinate plane - Draw the line through these two points
Writing a linear equation in slope intercept form
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
Writing a linear equation in point-slope form
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)
Converting slope intercept form into standard form
Converting Point-Slope form into Slope intercept form
Lattice Points
x and y are integers
they fall directly in the crosshairs of your graph