Question

Kevin and Jill wrote two different functions that have the same rate of change. Jill’s function has a y-intercept that is 2 less than the y-intercept of Kevin’s function. Kevin’s function is represented by the table. Graph Jill’s function.
x y
–2 –5
0 1
2 7
Line
Clear
Undo
-5
-4
-3
-2
-1
1
2
3
4
5
-5
-4
-3
-2
-1
1
2
3
4
5
0
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Answer 1

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Using the points (0, 1) and (2, 7), hence for Kevin:

y - 1 = [(7 - 1)/(2 - 0)](x - 0)

y = 3x + 1

Jill’s function has a y-intercept that is 2 less than the y-intercept, hence b = 1 - 2 = -1

Jill function is:

y = 3x - 1

Kevin linear function is y = 3x + 1 while Jill function is y = 3x - 1

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