Write an equation for a line g(t) perpendicular to h(t) = −2t + 4 and passing through the point (−4, −1).

Question

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g(t) = ?

Answer 1

g(t) = t/2 + b, solve for b by plugging in the point (-4,-1)

-1 = -4/2 + b

b =-1 +2 = 1

g(t) = t/2 + 1 is the line perpendicular to h(t) that goes through the point (-4,-1)

perpendicular lines have slopes that are negative inverses. 1/2 is the negative inverse of -2

change the sign and flip it upside down -2/1 becomes +1/2