5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)? options:
A. f(x) = x – 3
B. f(x) = x + 3
C. f(x) = –x + 3
D. f(x) = –x – 3

Step-by-step explanation:

Given

Points (−5,−2) and (−3,0)

Required

Find a linear function that passes through the given points

The question implies that we solve for the equation for the line;

First, the slope of the line must be calculated;

This is calculated as thus:

Where

So, becomes

The equation of the line can then be calculated using any of the given points;

Using

We have

Multiply both sides by x + 5

Subtract 2 from both sides

Replace y with f(x)

Hence, from the list of given options; Option B is correct

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step-by-step explanation: