BackClose

Select a Subject

Subject Test Math 2

Question 14 of 28

beginning of content:
Tags:
SAT Subject Test

A line has parametric equations x equals 5 plus t and y equals 7 plus t, where t is the parameter. The slope of the line is

Select an Answer

5 over 7

Correct Answer: 
No

1

Correct Answer: 
Yes

fraction numerator 7 plus t over denominator 5 plus t end fraction

Correct Answer: 
No

7 over 5

Correct Answer: 
No

7

Correct Answer: 
No

The correct answer is B.

One way to determine the slope of the line is to compute two points on the line and then use the slope formula. For example, letting t equals 0 gives the point left parenthesis 5 comma 7 right parenthesis on the line, and letting t equals 1 gives the point left parenthesis 6 comma 8 right parenthesis on the line. Therefore, the slope of the line is equal to fraction numerator 8 minus 7 over denominator 6 minus 5 end fraction equals fraction numerator 1 over denominator 1 end fraction equals 1.

Alternatively, one can express y in terms of x. Since x equals 5 plus t comma y equals 7 plus t and 7 plus t equals left parenthesis 5 plus t right parenthesis plus 2, it follows that y equals x plus 2. Therefore, the slope of the line is 1.

Question Difficulty: 
medium