What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ? enter your answer in the box.

The equation of the line would be y = -2x + 10

Step-by-step explanation:

In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 8 = -2(x - 1)

y - 8 = -2x + 2

y = -2x + 10

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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