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Linear functions SAT question
Math · Algebra · Medium · Answer it here, explanation included.
The function f is defined by 
, where m and b are constants. If 
and 
, what is the value of m ?
Enter a number or fraction (like 3/17 or 0.176). Press Enter to check.
ExplanationShow
The correct answer is 2. The slope-intercept form of an equation for a line is 
, where m is the slope and b is the y-coordinate of the y-intercept. Two ordered pairs, 
and 
, can be used to compute the slope using the formula 
. It’s given that and ; therefore, the two ordered pairs for this line are 
and 
. Substituting these values for and gives 
, or 2.
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