What is the equation of the line in slope-intercept form that passes through the point (-2, 4) and is perpendicular to the line y = -2x + 4?
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to find the equation of a line we need either:
a) two points
b) a point and a slope
This problem gives us a point, (-2,4), but we don't have any information about a second point, so option a is out. This means we need to find the slope, option b
We are told that the slope of our line is perpendicular to this line:
y = -2x + 4
whose slope is -2
to find a slope perpendicular to a given one, we need to take the negative reciprocal of the given one
which turns out to be 1/2
plugging the point and slope into the equation gives
4 = (1/2)*-2 + b
we then solve for b and we get the equation
y = (1/2)x + 5