Name:
Period:
Date:
Score:
X/Y-Intercepts Worksheet
Sketch the graph for each line.
1. X-intercept =-1, y-intercept = 4
2. X-intercept = 5, y-intercept = -4
y
–5
–4
–3
–2
y
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
3. X-intercept = 2, y-intercept = -5
–4
–3
–2
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
5. X-intercept = -2, y-intercept = -3
–4
–3
–2
5
x
1
2
3
4
5
x
5
x
y
5
5
4
4
3
3
2
2
1
1
–1
–1
4
6. X-intercept = 4, y-intercept = 2
y
–5
3
y
5
–1
–1
2
4. X-intercept = 1, y-intercept = 1
y
–5
1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
Find the slope of the line through each pair of points.
7. (4,0) and (0, 5)
8. (0, 3) and (2,0)
9. (-5, 0) and (0, 4)
10. (0, -1) and (9, 0)
1
2
3
4
Name:
Period:
Date:
Score:
Slope-Intercepts Worksheet
Sketch the graph for each line. Identify the slope and y-intercept
1. y= 6x – 3
Slope =
2. y =
Slope =
y-intercept:
y
y-intercept:
y
5
5
4
4
3
3
2
2
1
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
4. y =
Slope =
y-intercept:
y
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
1
2
3
4
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
5. Slope =2 and y-intercept =-3
6. Slope = 3 and y-intercept = 2
7. Slope =
8. Slope = and y-intercept = -1
and y-intercept = 0
Find the x-intercept and y-intercept of each equation.
9. Y = 3x + 2
x
y-intercept:
y
–1
–1
5
–5
3. y =
Slope =
–2
4
–4
–5
–3
3
–3
–4
–4
2
–2
–3
–5
1
10. Y = -2x + 4
5
x
Name:
Period:
Date:
Score:
Point-Slope Worksheet
Write the point-slope form of equation of the line through the given point with the given slope.
1. through (-1, -2), slope = 5
2. through (2, 1), slope =
Write the point-slope form of equation of the line through the given points.
3. through (3, -4) and (-1, -2)
4. through (2, 0) and (3, 4)
5. through (3, 4) and (-2, -1)
6. through (-5, -3) and (1, 2)
Sketch the graph for each line.
7. Y -2 = 2(x – 3)
Point:
8. Y + 1 = (x + 4)
Point:
Slope:
y
Slope:
y
5
5
4
4
3
3
2
2
1
1
–5
–4
–3
–2
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–2
–1
–1
10. Y + 5 = -(x – 2)
Point:
Slope:
y
x
5
x
Slope:
y
5
5
4
4
3
3
2
2
1
1
–1
–1
5
–5
9. Y -1 = 3(x + 2)
Point:
–2
4
–4
–5
–3
3
–3
–4
–4
2
–2
–3
–5
1
1
2
3
4
5
x
–5
–4
–3
–2
–2
–1
–1
–2
–3
–3
–4
–4
–5
–5
Standard Form Worksheet
Find the x-intercepts and the y-intercepts for each equation. (2pts each)
1
2
3
4
Name:
Period:
Date:
Score:
1. x + 2y = 18
2. 3x – y = 9
x-intercept:
y-intercept:
x-intercept:
3. –2x –3y = -12
y-intercept:
4. –8x + 10y = 40
x-intercept:
y-intercept:
x-intercept:
y-intercept:
Sketch the graph for each line. (4pts each)
5. 2x + 3y = 6
X-Int:
Y-Int:
Slope:
6. X – 2y = 4
X-Int:
Y-Int:
y
y
5
5
4
4
3
3
2
2
1
–5
–4
–3
–2
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–2
–1
–1
1
2
3
4
5
x
–2
–3
–3
–4
–4
–5
7. 2x + y = -2
X-Int:
Slope:
–5
Y-Int:
Slope:
8. 4x – 3y = 12
X-Int:
Y-Int:
Slope:
y
5
y
5
4
4
3
3
2
2
1
1
–5
–5
–4
–3
–2
–1
–1
1
2
3
4
5
–4
–3
–2
x
–1
–1
1
2
3
4
–2
–2
–3
–3
–4
–4
–5
–5
Mixed Linear Equation Worksheet
Write the slope-intercept form of the equation given the following information.
1. Slope = 7, y –intercept = 3
2. Slope = and through (-3, 2)
5
x
Name:
Period:
Date:
Score:
Write the point-slope form of the equation given the following information.
3. Slope = 7, point (2, 5)
4. through (1, 2) and (5, -3)
Sketch the graph for each line.
5. y = 4 (2pts)
Slope:
6. x = 4 (2pts)
Slope:
y
–5
–4
–3
–2
y
5
5
4
4
3
3
2
2
1
1
–1
–1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
–2
–3
–3
–4
–4
–5
–5
7. y = 5x - 1 (3pts)
Y-Int:
Slope:
–3
–2
5
4
4
3
3
2
2
–1
–1
4
5
x
Slope:
1
1
2
3
4
5
x
–5
–4
–3
–2
–1
–1
–2
1
2
–2
–3
–3
–4
–4
–5
–5
Parallel and Perpendicular Worksheet
Find the slope of a line parallel to each given line.
1. Y =
3
y
5
1
–4
2
8. 6x – 2y = 12 (4pts)
X-Int:
Y-Int:
y
–5
1
2. Y =
3. Y =
3
4
5
x
Name:
Period:
Date:
Score:
4. 2x – y = 3
5. 2x + 3y = 6
6. -2x + y = 5
7. X = -4
8. Y = -4
9. Y = 4x – 1
Find the slope of a line perpendicular to each given line.
10. Y =
11. Y =
12. Y =
13. -1 = -x – y
14. -3x = y
15. 4x + 3y = 12
Tell whether the lines for each pair of equations are parallel, perpendicular or neither.
16. Y = 3x – 8
3x – y = -1
17. 3x + 2y = -5
Y=
18. Y =
-5x + 2y = 20
Find the slope, parallel slope and perpendicular slope for a line that passes through the points.
19. (3, 4) (9, 5)
Slope:
|| slope:
20. (1, 3) (6, 7)
Perpendicular Slope:
Slope:
|| slope:
Perpendicular Slope:
Name:
Period:
Date:
Score:
Solving Systems By Graphing Worksheet
Solve the following systems of equations by graphing. Be sure to indicate and test the solution to the system.
1. Y = 4x + 7
Y = -3x
2.
Y = -x + 2
3x + 3y = 12
y
y
8
7
6
5
4
3
2
1
8
7
6
5
4
3
2
1
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1
2
3
4
5
6
7
8
x
Solution:
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1
3
4
5
6
7
x
8
Solution:
3. Y = 3x + 2
2x + y = -8
4. 3x – 6y = 12
2x -4y = 8
y
y
8
7
6
5
4
3
2
1
8
7
6
5
4
3
2
1
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1
2
3
4
5
6
7
8
x
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1
2
3
4
5
6
7
Solution:
Solution:
5. 2x + y = 0
y = 2x - 4
6. Y = 4x
y = -3x
y
y
8
7
6
5
4
3
2
1
8
7
6
5
4
3
2
1
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
Solution:
2
1
2
3
4
5
6
7
8
x
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
Solution:
1
2
3
4
5
6
7
8
x
8
x
Name:
Period:
Date:
Score:
Solving Systems By Graphing Worksheet #2
Solve the following systems of inequalities by graphing. Use a different colored pencil to graph and shade each.
7. y < 2x + 4
2x – y ≤ 4
8.
y ≤ -x + 4
y>
y
1
x
4
8
7
6
5
4
3
2
1
y
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1 2 3 4 5 6 7 8
8
7
6
5
4
3
2
1
x
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1
2
3
4
5
6
10. y   x 5
y ≤ 3x – 4
1
x 7
3
y   x 1
9. y ≤ 
y
y
8
7
6
5
4
3
2
1
8
7
6
5
4
3
2
1
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1 2 3 4 5 6 7 8
x
11. y < 3
y < -3x - 3
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
1
2
3
4
5
6
7
8
x
1
2
3
4
5
6
7
8
x
12. y ≥ 2x + 1
y ≤ 3x – 2
y
y
8
7
6
5
4
3
2
1
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
8
7
6
5
4
3
2
1
1
2
3
4
5
6
7
8
x
–8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
7
8
x
Name:
Period:
Date:
Score: