mikemcgarry wrote:
A line that passes through (–1, –4) and (3, k) has a slope = k. What is the value of k?
(A) 3/4
(B) 1
(C) 4/3
(D) 2
(E) 7/2
Slope of line between the points (x1, y1) and (x2, y2) = (y2 - y1)/(x2 - x1)So, we can write: k = [k - (-4)]/[3 - (-1)]
Simplify: (k + 4)/4 = k
Multiply both sides by 4 to get: k + 4 = 4k
Subtract k from both sides to get: 4 = 3k
Divide both sides by 3 to get: 4/3 = k
Answer: C
Cheers,
Brent
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Brent Hanneson – Creator of gmatprepnow.com
I’ve spent the last 20 years helping students overcome their difficulties with GMAT math, and the biggest thing I’ve learned is…
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