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

Level 1

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.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the rise of the line (change in y) between 3 and 6 given the two values for y = f(x)

f(3) = 0

f(6) = 5

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

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Math worksheet on 'Rise of a Line from Coordinates of Points Given as Function Outputs (Level 1)'. Part of a broader unit on 'Line Equations and Graphing - Practice' Learn online: app.mobius.academy/math/units/line_equations_and_graphing_practice/
1
Find the rise of the line (change in y) between 2 and 9 given the two values for y = f(x)
f(2) = 3 f(9) = 9
a
7
b
13.2
c
7.2
d
-1.2
e
-6
f
6
2
Find the rise of the line (change in y) between 3 and 10 given the two values for y = f(x)
f(3) = 2 f(10) = 5
a
3
b
5.4
c
1.2
d
-3
e
3.6
f
7
3
Find the rise of the line (change in y) between 6 and 8 given the two values for y = f(x)
f(6) = 4 f(8) = 9
a
-4
b
5
c
15
d
-2
e
2
f
-5
4
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
2.8
c
2.4
d
4
e
-2
f
-0.8
5
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
2
c
4
d
7
e
-5
f
-1
6
Find the rise of the line (change in y) between 3 and 5 given the two values for y = f(x)
f(3) = 3 f(5) = 7
a
9.6
b
-4
c
4
d
12
e
2
f
-0.8
7
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
-8
b
8
c
3.2
d
0
e
6
f
16