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Linear equations in two variables SAT question

Math · Algebra · Easy · Answer it here, explanation included.

Line is defined by . Line is parallel to line in the xy-plane. What is the slope of ?

Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.

ExplanationShow

The correct answer is . It's given that line is defined by . It's also given that line is parallel to line in the xy-plane. A line in the xy-plane represented by an equation in slope-intercept form  has a slope of and a y-intercept of . Therefore, the slope of line is . Since parallel lines have equal slopes, the slope of line is . Note that 1/4 and .25 are examples of ways to enter a correct answer.

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