A line in the standard (x,y) coordinate plane has a slope of 2/3 and passes through the points (3,4) and (t,-2). What is the value of t ?
A.) 3 B.) 2 C.) 0 D.) -2 E.) -6
change in y
------------ = slope change in x -2 - 4 2 ------- = --- {set change in y over change in x equal to given slope of 2/3} t - 3 3 -6 2 ----- = ---- {subtracted -2 - 4} t - 3 3 2t - 6 = -18 {cross-multiplied} 2t = -12 {added 6 to each side} t = -6 {divided each side by 2} E.) -6 Ask Algebra House Comments are closed.
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