HardMath· Algebra· Linear equations in two variables· SPR
x
y
3
7
k
11
12
n
The table above shows the coordinates of three points on a line in the xy-plane, where k and n are constants. If the slope of the line is 2, what is the value of ?
Correct answer: 30
(parsed from the explanation — this source omits an answer key
for this item)
Explanation
The correct answer is 30. The slope of a line can be found by using the slope formula, . It’s given that the slope of the line is 2; therefore, . According to the table, the points and lie on the line. Substituting the coordinates of these points into the equation gives . Multiplying both sides of this equation by gives , or . Solving for k gives . According to the table, the points and also lie on the line. Substituting the coordinates of these points into gives . Solving for n gives . Therefore, , or 30.
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id cb_question_bank:a97e5c0c-12f5-4ab5-ba8a-f03e41afddb9 · question 0366d965 · IBN 029626-DC
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