sat suite question viewer
Algebra
/ Linear equations in two variables
Difficulty: Hard
The graph of the equation 
is a line in the xy-plane, where a and k are constants. If the line contains the points 
and 
, what is the value of k ?
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Explanation
Choice A is correct. The value of k can be found using the slope-intercept form of a linear equation, 
, where m is the slope and b is the y-coordinate of the y-intercept. The equation can be rewritten in the form 
. One of the given points, , is the y-intercept. Thus, the y-coordinate of the y-intercept 
must be equal to 
. Multiplying both sides by k gives 
. Dividing both sides by gives 
.
Choices B, C, and D are incorrect and may result from errors made rewriting the given equation.