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Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
In the figure, the slope of the line through points 
. What is the value of 
?
Hint
To answer this question you must know and be able to apply the definition of slope.
The slope of a line in a coordinate plane is given by the fraction whose numerator is the change in 
between any two points on the line and whose denominator is the change in 
between the same points on the line.
between any two points on the line and whose denominator is the change in 
between the same points on the line.
, which is the 
-coordinate of point 
.
between points 
and 
is 
. The change in 
between these points is 
. Since the slope is 
, it follows that 
. Solving this equation gives 
. Therefore, 
, and 
.