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Line AB passes through points A(–6, 6) and B(12, 3). If the equation of the line is written in slope-intercept form, y = mx + b, then m = – and b =

User StanislavK
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2 Answers

2 votes

Answer:

5

Explanation:

User Seline
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7.8k points
2 votes

Answer:

In summary, m = -1/6 and b = 5

Explanation:

As we move from A(–6, 6) to B(12, 3), x increases by 18 and y decreases by 3. Thus, the slope of Line AB is m = rise / run = -3 / 18, or m = -1/6.

Let's make use of the slope-intercept formula to find the value of b:

y = mx + b becomes 3 = (-1/6)(12) + b, or

3 = -2 + b

Then b must be 5.

In summary, m = -1/6 and b = 5, and the equation of Line AB is y = (-1/6)x + 5.

User Jamie Rees
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