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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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?

Mathematics
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to find the equation of a line we need either: a) two points or 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

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