SOLUTION: How far from the origin is the line 3x + 4y = 100? (a)20 (b) 21 (c) 22 (d) 23 (e) None of the above

Question 290214: How far from the origin is the line 3x + 4y = 100?
(a)20 (b) 21 (c) 22 (d) 23 (e) None of the above

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
4 steps
a)find the slope of he given line.
b)find a line perpendicular
c)Find a point with the new slope (intersection of two lines)
d) Find distance between two points.
e) answer question
a)3x+4y=100
-a/b=-3/4
so we want 4/3
b)y=mx+b
0=0+b
b=0
c)y=4x/3
4y=100-3x
y=-3x/4+100
y=4x/3
4x/3=-3x/4+100
14x=-9x+1200
25x=1200
x=1200/25=48
x=48
y=4x/3
y=16*3*4*x/3
y=64
d)64^2+48^2=d^2
d=80
e)Answer none of the above
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