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A line that includes the points (–7, s) and (–8, –7) has a slope of –3. What is the value of s?

A. 4
B. -6
C. 6
D. -4

User John Mills
by
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1 Answer

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Final answer:

The value of s is 31/4 or approximately 7.75.

Step-by-step explanation:

To find the value of s, we need to use the formula for slope: m = (y2 - y1) / (x2 - x1). Using the given points (–7, s) and (–8, –7), we can substitute the values into the formula and solve for s. Since the slope is given as –3, we get: -3 = (-7 - s) / (-8 - (-7)). Cross-multiplying and simplifying the equation, we get -24 + 3s = 7 - s. Combining like terms, we have 4s = 31. Dividing both sides by 4, we find that s = 31/4, which is approximately 7.75.

User Mir Milad Hosseiny
by
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