sat suite question viewer
Algebra
/ Linear equations in two variables
Difficulty: Hard
Line k is shown in the xy-plane. Line j (not shown) is perpendicular to line . What is the slope of line ?
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Explanation
The correct answer is . It’s given that line is perpendicular to line in the xy-plane. This means that the slope of line is the opposite reciprocal of the slope of line . For a line that passes through the points and in the xy-plane, the slope of the line can be calculated as . It's shown that line passes through the points and in the xy-plane. Substituting for , for , for , and for in yields , or . The opposite reciprocal of is . Therefore, the slope of line is . Note that 6/5 and 1.2 are examples of ways to enter a correct answer.