Question

A linear function can be represented by the points (5, 4) and (7, 10). Fill in the missing information to find the rate of change and initial value.

Characteristic

Calculation

1

Formula used to find the rate of change, m

m

10⁻⁴

7⁻⁵

2

Rate of change

Select Answer

3

Plugging values ​​into the slope-intercept form, y = mx + b, to solve for the initial value, b

Select Answer

4

Initial value

Select Answer

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Answer 1

1. Formula used to find the rate of change, m:
m = (y2 − y1) / (x2 − x1) = (10 − 4) / (7 − 5)

2. Rate of change:
m = 3

3. Plugging values into y = mx + b to solve for b:
Use (5, 4): 4 = 3(5) + b

4. Initial value:
b = 4 − 15 = −11