Study Guide and Intervention (continued) - MathnMind

5-1
Find Slope
NAME ______________________________________________ DATE ____________ PERIOD _____
Study Guide and Intervention
Slope
Slope of a Line m or m , where (x1 , y1 ) and (x2 , y rise
run
y2 y1 2 ) are the coordinates
x2 x1 of any two points on a nonvertical line
Example 1 Find the slope of the
line that passes through (3, 5)
and (4, 2).
Let (3, 5) (x1 , y1 ) and
(4, 2) (x2 , y2 ).
y2 y1 m Slope formula
x2 x1 Example 1 Example 2
2 5
4 (3)
y2 2, y1 5, x2 4, x1 3
7
7
Simplify.
1
Exercises
Example 2 Find the value of r so that
the line through (10, r) and (3, 4) has a
2
slope of .
7
y2 y1 m x2 x1 Slope formula
2
7
4 r
3 10
2
m
7
, y2 4, y1 r, x2 3, x1 10
2 4 r
Simplify.
7 7
2(7) 7(4 r) Cross multiply.
14 28 7r Distributive Property
14 7r Subtract 28 from each side.
2 r Divide each side by 7.
Find the slope of the line that passes through each pair of points.
1. (4, 9), (1, 6) 2. (4, 1), (2, 5) 3. (4, 1), (4, 5)
4. (2, 1), (8, 9) 5. (14, 8), (7, 6) 6. (4, 3), (8, 3)
7. (1, 2), (6, 2) 8. (2, 5), (6, 2) 9. (4, 3.5), (4, 3.5)
Determine the value of r so the line that passes through each pair of points has
the given slope.
3
10. (6, 8), (r, 2), m 1 11. (1, 3), (7, r), m 12. (2, 8), (r, 4) m 3
4
3
13. (7, 5), (6, r), m 0 14. (r, 4), (7, 1), m 15. (7, 5), (r, 9), m 6
4
16. (10, r), (3, 4), m 17. (10, 4), (2, r), m 0.5 18. (r, 3), (7, r), m 1 2
7
5
© Glencoe/McGraw-Hill 281 Glencoe Algebra 1
Lesson 5-1