An architect's scale drawing of a new school is 8.4 inches long. The scale used in the drawing is 2 inches = 8 feet.
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bearing in mind that perpendicular lines have <u>negative reciprocal</u> slopes.
now, they both intersect at 0,0, namely they both pass through it, we know the slope of the first one, so
so, we're really looking for the equation of a line whose slope is 2, and runs through (0,0).
Point a is at (-2,4) => (x1,y1)
Midpoint is (2.5, 3.5) => (a,b)
Point B is (x2, y2)
To find midpoint we use formula
a= 2.5, b= 3.5, x1= -2 and y1= 4
Plug in all the values and findout x2, y2
multiply 2 on both sides to remove fraction
(5 = -2+x2 , 7 = 4+ y2)
5 = -2+x2, so x2= 7
7 = 4+ y2, so y2= 3
The point B is ( 7, 3)