( 5 , 6 ) , s l o p e : m = 2 1 x = 5 , y = 6 , m = 2 1 t h e s l o p e in t erce pt f or m i s : y = m x + b 6 = 2 1 ⋅ 5 + b
6 = 2 5 + b b = 6 − 2 5 = 6 − 2 2 1 = 3 2 1 y = 2 1 x + 3 2 1
To graph the line through the point (5, 6) with a slope of 2 1 , use the point-slope form to find the equation as y = 2 1 x + 3.5 . Then, plot the point and use the slope to find additional points before drawing the line.
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