Question

Determine the slope and y-intercept of the line that passes through the points (−2, 1) and (6, 3).

m= _____ b= _____

Answer 1

slope = m = (3-1) / (6+2) = 2/8 = 1/4

so
1 = (1/4)(-2) + b
1 = -1/2 + b
b = 3/2
so
y = (1/4) x + 3/2
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Check
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3= m (6) +b ?
3 = 6/4 + 3/2 ?
3 = 12/4 ??
yes, whew !