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Maths-

SAT

Easy

Question

In the xy-plane, line k with equation y = mx + b, where m and b are constants, passes through the point (-3, I). If line k is perpendicular to the line with equation y = - 2x + 3, what is the value of b ?

The correct answer is: 5/2

Slope of y = - 2x + 3 is - 2
Perpendicular slope = $1 half equals m$
$y equals 1 half x plus b$ passes through (-3,1)
$1 equals fraction numerator negative 3 over denominator 2 end fraction plus b rightwards double arrow b equals 1 plus 3 over 2 equals 5 over 2 equals 2.5$

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