A line has a slope of -1/4 and includes the points (-5, -8) and (w, -10). What is the value of w?
A line has a slope of -1/4 and includes the points (-5, -8) and (w, -10). What is the value of w?
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info@snapandsolve.comTo find the value of w, use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Given slope = -1/4, point 1 (-5, -8), and point 2 (w, -10):
-1/4 = (-10 - (-8)) / (w - (-5))
Simplify:
-1/4 = (-10 + 8) / (w + 5)
-1/4 = -2 / (w + 5)
Cross-multiply to solve for w:
-1 * (w + 5) = -2 * 4
-w - 5 = -8
Add 5 to both sides:
-w = -3
Multiply by -1:
w = 3
Therefore, the value of w is 3.
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