Unit 2 – Linear Functions Mixed Practice
Name: __________________________________ Date: _________________________
Part A) Given the equation 3x – 4y = -24.
1) Is the point (-2, 5) on the line?
2) Determine the slope of the line.
3) Determine the x & y intercepts of the line.
4) Graph the line. Label it “original”
5) Find the equation of the line parallel to the original
line, that passes through the point (8, 3). Then
graph the parallel line. Label it “parallel”
6) Find the equation of the line perpendicular to the original line that passes through the
point (3, -4). Then graph the perpendicular line. Label it “perpendicular”
Part B)
1) Find the equation of a line with a slope of 2/3 that passes through the point (9, 4)
2) Determine the x & y intercepts of the line.
3) Graph the line. Label it “original”.
4) Find the equation of the line parallel to the original
line, that passes through the point (-3, -1). Then
graph the parallel line. Label it “parallel”
5) Find the equation of the line perpendicular to the original line that passes through the
point (-2, 4). Then graph the perpendicular line. Label it “perpendicular”
Part C)
1) Find the equation of a line that passes through the points (-3, 6) and (9, 2)
2) Determine the x & y intercepts of the line.
3) Graph the line. Label it “original”.
4) Find the equation of the line parallel to the original
line, that passes through the point (-6, -5). Then
graph the parallel line. Label it “parallel”
5) Find the equation of the line perpendicular to the original line that passes through the
point (2, 7). Then graph the perpendicular line. Label it “perpendicular”.
Part D)
1) Find the equation of a line with an x-intercept of -3 and a y – intercept of -6.
2) Graph the line. Label it “original”.
3) Find the equation of the line parallel to the original
line, that passes through the point (1, 4). Then
graph the parallel line. Label it “parallel”.
4) Find the equation of the line perpendicular to the original line that passes through the
point (6, 2). Then graph the perpendicular line. Label it “perpendicular”.
Part E) SPECIAL CASES
1) Find the equation of a horizontal line passing through the point (-7, 5)
2) Find the equation of a vertical line passing through the point (3, -2)
3) Find the equation of parallel to the x – axis passing through the point (0, 1)
4) Find the equation of a line perpendicular to the x-axis passing through the point (-5, 1)
Part F) Working Backwards
1) Find the equation of the graphed line.
2) Find the equation of the line perpendicular to
the graphed line passing through the point
(-6, 4). Then graph the line. Label it
“perpendicular”
3) Find the equation of the line parallel to the graphed line passing through the point
(4, -5). Then graph the line. Label it “parallel.”
4) Find the equation of the graphed line.
5) Find the equation of the line perpendicular to
the graphed line passing through the point (-1, 10). Then graph the line. Label it
“perpendicular”.
6) Find the equation of the line parallel to the graphed line passing through the point
(-7, -1). Then graph the line. Label it “parallel”.