sat suite question viewer
Algebra
/ Linear functions
Difficulty: Medium
The function f is defined by 
, where m and b are constants. If 
and 
, what is the value of m ?
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Explanation
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.