1.
the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:
so
3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2
thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)
Answer:
r>=-3
Step-by-step explanation:
Answer:
b=1/12 or just 12
Step-by-step explanation:
combine like terms
1/3b +12=16
subtract 12 on both sides
1/3b=4
divided both sides with 1/3
b= 12 or 1/12
hope this helps.. :/
Step-by-step explanation:
the answer is in the above image