STATION 1
1. Write an equation in slope-intercept form with a slope of 2 and a
y-intercept of 9.
2. Write an equation in point-slope form with a slope of and
passes through the point ( -8 , 2 ).
3a. Write an equation of the line in slope-intercept form.
b. Write an equation of the line in point-slope form.
4. Find the slope of a line that passes through the points
(3 , 1) and (2, 10).
5. Write the equation y - 2 = 3(x + 5) in slope-intercept form.
6a. Write the equation y = x + 2 using function notation.
b. Use the function above to evaluate f ( 3 ).
c. Use the function above to simplify f (2x -10).
7a. If a linear function f has the values f(0) = 2 and f(2) =4, what two coordinates does the line pass through?
b. Find the slope between those two points.
c. Write an equation in point-slope form with the above function values.
d. Write the equation above in slope-intercept form.
e. Write the equation above using function notation.
STATION 2
1. Describe the error in writing the equation in slope-intercept form.
6. What coordinate is the origin?
2. What is the slope of the line? What point does the line pass through?
3. Write an equation in point-slope form that is modeled by the table.
4. If a line has a y-intercept of -5, what coordinate do you know the line passes through?
5. If a line has an x-intercept of 3, what coordinate do you know the line passes through?
7. Write the equation in point-slope form of a line that has an x-intercept of 2 and a slope of 3.
8. What is the y-intercept of a line that passes through (-2 , 2) and has a slope of -4?
9. Write the equation of a line in slope-intercept form that passes through the points (3 , 7) and (-2 , 7)?
10. Write the equation of a line in point-slope form that has an
x-intercept of -2 and a y-intercept of 6.
STATION 3
1. Write the domain and range of the graph.
Domain:
Range:
Discrete or Continuous?
2. Write the domain and range of the graph.
Domain:
Range:
Discrete or Continuous?
3. If a function has a domain of { 0 , 3 , 18 }, what is the range?
4. Line a passes through (-1 , -2) and (1 , 0).
Line b passes through (4 , 2) and (2 , -2).
Line c passes through (0 , 2) and (-1 , 1).
Which lines (if any) are parallel?
5. Lines a, b, and c are labeled on the graph. Which lines (if any) are parallel?
STATION 4
1. Write an equation of a line in slope-intercept form that passes through the point ( -1 , 3) and is parallel to the line y = 2x + 2.
2. Write an equation in slope-intercept form of a line that is perpendicular to y = -5x + 4 and has an x-intercept of (4 , 0).
3. Line a passes through (−1, 3) and (1, 9).
Line b passes through (−2, 12) and (−1, 14).
Line c passes through (3, 8) and (6, 10).
Which lines (if any) are perpendicular?
4. Lines a, b, and c are labeled on the graph. Which lines (if any) are perpendicular?
5. Graph the equations.
y = x - 2y - 1 = 2(x - 5)
A line parallel to y = 3x - 10A line perpendicular to
that passes through the point (-2, -4)y - 2 = (x - 2) with a
y-intercept of -1.
STATION 5
1. The table represents some points on the graph of a linear function.
Which function represents the same relationship?
Ah(x) = -3x - 10.5
B h(x) = -x - 3.5
Ch(x) = 3x - 10.5
Dh(x) = x - 3.5
2. The graph of 0.5x - 2y = 3 is shown.
Which ordered pair is in the solution set of 0.5x - 2y 3?
A(-2 , 0.5)
B(2 , -1)
C(2 , 1 )
D(-2 , -0.5)
3. Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to and the y-intercept to 4. Which statement about the relationship between these two graphs is true?
A The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated down.
B The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.
C The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.
D The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.
4. What is the y-intercept of the line graphed on the grid?
5. Write an equation in slope-intercept form that would be perpendicular to the equation y = x - 5 and has a y-intercept of 2.
STATION 6
1. The table represents some points on the graph of a linear function.
Write an equation in point-slope form that would generate this table.
2. Given f(x) = 6(1 - x), what is the value of f(-8)?
3. A student made an error when trying to write an equation in slope-intercept form of a line passing through the point (1 , 3) and parallel to the line . Describe the error.
4. A student rode a bike from school to a recreation center. The graph shows the student's distance in miles from the recreation center after riding the bike for x minutes.
What is the range of the function for this situation?
A All real numbers greater than or equal to 0 and
less than or equal to 28
BAll real numbers greater than or equal to 0 and
less than or equal to 9
CAll real numbers less than or equal to 28
DAll real numbers less than or equal to 9
5. Write an equation in slope-intercept form that would be parallel to the equation y = 3x + 2 and has a y-intercept of 6.