Chapter 6 Review
Algebra 1
Name _________________________________________
1. What is the slope of a horizontal line?
2. What is the slope of a vertical line?
Find the slope of the line passing through each pair of points.
3. (2, 7) and (4, 10)
5. Find the slope.
6. Find the slope.
6
5
5
4
4
3
-5
-4
-3
-2
4. (-1, 6) and (3, -4)
3
2
2
1
1
-1
1
2
3
4
-6 -5 -4 -3 -2 -1
5
-1
-1
1
2
3
4
5
6
-2
-2
-3
-3
-4
-4
-5
-5
-6
Graph each equation.
7. y 
1
x4
3
8. y   x  1
Find the equation of each line. (Hint – find both m and b)
9. ____________________
10. ____________________
6
6
5
5
4
4
3
3
2
m = _______
2
-6 -5 -4 -3 -2 -1
-1
1
2
3
4
5
6
b = _______
m = _______
1
1
-6 -5 -4 -3 -2 -1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
1
2
3
4
5
6
b = _______
Find the x and y intercepts of each the line.
11. 3x – 4y = 12
Graph each equation by finding the x and y intercepts. (Hint: Let x = 0 and Let y = 0)
12. x  2 y  4
13. 3 x  4 y  12
Graph each equation.
14. y  3  2( x  1)
15. y  3  3( x  1)
Write each equation in slope-intercept form.
16. 4 x  3 y  12
17. x  5 y  15
y = __________
y = ___________
18. Suppose an elevator is 400 feet above the ground It descends at a steady rate of 3 ft per second.
Write an equation that models this situation.
Write an equation in point-slope form for the line with the given slope and passes through the given point.
19. m  3 : (1, 4)
20. m  4 : (3, -2)
________________
________________
Write an equation in slope-intercept form for the line through the given points.
23. 5,9 ; 3,5
24.  7,4 ; 11,14
   

y = ___________
 

y = ___________
25. Tell whether each of the following lines is parallel, perpendicular, or neither to y  
2
x2
3
a. - 15 y  25 x  9
b. y 
_______________
_______________
3
x2
2
c. 3 y  3 x  5
______________
Write an equation in the slope-intercept forms for a line that passes through the given point and
is parallel to the given line.
26.
2
y   x  4 ;  6,5
3
Write an equation in slope-intercept form for a line that passes through the given point and
is perpendicular to the given line.
27.
y  2 x  5 ;  4,1