The slope of a line is a measure of its steepness. We calculate the slope of a line by comparing the change in y values (vertical change) to the change in x values (horizontal change) while moving along our line from one point to another.
Test Objectives:•Demonstrate an understanding of the slope formula
•Demonstrate the ability to calculate slope using the slope formula
•Demonstrate the ability to calculate slope from the graph of the line
Slope of a Line Test:
#1:
Instructions: Find the slope of the line that passes through the given points.
a) (-5,14) and (5,20)
b) (7,4) and (-3,4)
#2:
Instructions: Find the slope of the line that passes through the given points.
a) (-6,-10) and (0,-18)
b) (6,11) and (9,8)
#3:
Instructions: Find the value of x or y, so the line that goes through the given points will have the given slope.
a) (-3,-2) and (-2,y) : slope = 7
#4:
Instructions: Find the value of x or y, so the line that goes through the given points will have the given slope.
a) (x,1) and (-1,-3)
slope | = | 4 |
5 |
#5:
Instructions: Find the slope of the line from the graph.
a)
b)
Written Solutions:
Solution:
a)
m | = | 3 |
5 |
b) m = 0
Solution:
a)
m | = | - | 4 |
3 |
b) m = -1
Solution:
a) y = 5
Solution:
a) x = 4
Solution:
a) m = -4
b)
m | = | 5 |
2 |