The Coordinate Plane/Quadrants
Writing Linear Equations
Graphing Linear Equations
Slope
Functions
Solving for y
100
Name a point in the first quadrant.
C or I
100
Write an equation for a line with slope 2 and y-intercept 4.
y = 2x + 4
100
What are the slope and y-intercept of the equation
y = 2x - 1?
Slope: 2; y-intercept: -1
100
What is the slope of this linear function: y = 5x ?
5
100
Is this a function?
No (does not pass vertical line test)
100
Solve for y (get y by itself):
3x + y = 4
y = -3x + 4 or y = 4-3x
200
What are the coordinates of point J?
(-1, 1)
200
Write an equation for the line with slope -1/2 and y-intercept 0.
y = -1/2x
200
If you were trying to graph the line y = 4x - 3 , where would you put your first point?
On the y axis at -3
200
What is the slope of this linear function: y = -x + 5 ?
-1
200
Is this a function?
Yes (all x values are different)
200
Solve for y:
-2/3x + y = 8
y = 2/3x + 8 or y = 8 + 2/3x
300
Give the coordinates for point G and for point A.
Point G: (3, 0); Point A: (0, 3)
300
Write an equation for this line:
y = -2x + 5 or y = 5-2x
300
B
300
What is the slope of this line?
1/2
300
What is the domain of this function?
{-2, -1, 0, 3}
300
Solve for y (get y by itself):
2x + 3y = 6
y = -2/3x + 2 or y = 2 - 2/3x
400
What is the y-intercept of the equation 3x - 2y = -6?Hint: replace x with 0
3 or (0, 3)
400
Write an equation for this line:
y = 2/3x + 4 or y = 4 + 2/3x
400
Option 4
400
What is the slope of this line?
-2/3
400
If f(x) = 3x, what is f(2)?
6
400
Solve for y (get y by itself):
x - y = 4
y = x-4 or y = -4+x
500
If there were a vertical (up and down) line through point E, what would its equation be?
x = -3
500
Write an equation for the line that passes through (0,2) and (3, 0).
y = -2/3x + 2 or y = 2 - 2/3x
500
Imagine a horizontal (flat) line going straight through 4 on the y axis. What is its equation?
y = 4
500
What is the slope of the line that goes through the points (-2, 5) and (3, 8)?
3/5
500
If g(x) = 3x - 5, what is g(-4)?
-17
500
Solve for y:
y - 2 = 3(x - 4)
y = 3x - 10