This topic focuses on finding the rise of a line, which is the change in the y-values (Δy), given two points in the context of their function outputs, f(x). The problems require calculating the difference in the y-values for specific x-intervals such as from x=5 to x=7 (f(5) to f(7)) among others. Essentially, learners are required to understand and apply the concepts of the slope (rise/run) of a line, though only the "rise" aspect is emphasized here under various increments along the x-axis.

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Rise of a Line from Coordinates of Points Given as Function Outputs Worksheet

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Rise of a Line from Coordinates of Points Given as Function Outputs
1
Find the rise of the line (change in y) between 9 and 10 given the two values for y = f(x)
f(9) = 1 f(10) = 5
a
-4
b
11.2
c
4
d
9.6
e
1
f
-2.4
2
Find the rise of the line (change in y) between 8 and 9 given the two values for y = f(x)
f(8) = 3 f(9) = 5
a
-2
b
1
c
2
d
0.8
e
4.8
f
3.2
3
Find the rise of the line (change in y) between 3 and 7 given the two values for y = f(x)
f(3) = 9 f(7) = 10
a
1.6
b
0.4
c
0.2
d
1
e
4
f
3
4
Find the rise of the line (change in y) between 1 and 8 given the two values for y = f(x)
f(1) = 0 f(8) = 5
a
5
b
7
c
4
d
2
e
-5
f
-1
5
Find the rise of the line (change in y) between 0 and 7 given the two values for y = f(x)
f(0) = 1 f(7) = 4
a
3.6
b
-3
c
1.8
d
2.4
e
3
f
7
6
Find the rise of the line (change in y) between 3 and 9 given the two values for y = f(x)
f(3) = 2 f(9) = 10
a
3.2
b
8
c
16
d
-8
e
6
f
0
7
Find the rise of the line (change in y) between 4 and 5 given the two values for y = f(x)
f(4) = 1 f(5) = 4
a
-3
b
3
c
1
d
0
e
6.6
f
-0.6
8
Find the rise of the line (change in y) between 3 and 7 given the two values for y = f(x)
f(3) = 0 f(7) = 2
a
-2
b
2
c
2.4
d
4
e
2.8
f
-0.8