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The slope of the line that passes through the points (-6, w) and (-10, 4) is 8. What is the value of w?

a) 2
b) 6
c) 10
d) 14"

1 Answer

2 votes

Final answer:

The slope formula was applied to the given points, resulting in a value for w of -28, which does not match any of the provided answer options, meaning there could be a mistake in the question or answer choices.

Step-by-step explanation:

The question involves finding the value of w when the slope of the line passing through points (-6, w) and (-10, 4) is given as 8. The formula for slope m is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Using the coordinates given, the equation for the slope becomes:

8 = (4 - w) / (-10 - (-6))

8 = (4 - w) / (-4)

Multiplying both sides by -4, we get:

-32 = 4 - w

Getting w by itself, we add 4 to both sides:

-32 + 4 = w

w = -28

The value of w is not one of the options provided in the question, indicating a potential error either in the question or in the answer options provided.

User TechieWings
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