Answer:
y varies of directly as x. This means that the equation is of the form y=kx where k is any number.
Substituting y=12 when x=4, we get
12=k×4⇒k=3
Hence, the required equation is y=3x.
The value of y when x=5 is y=3x5=15.
Step-by-step explanation:
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Answer:
y = 2/3x +6 for x< -3
y = 2/3x +1 for x> 3
Step-by-step explanation:
The graph is a line for x < -3
( - 6,2) and ( -3,4)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 4-2)/(-3 - -6) = 2/ ( -3+6) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point ( -6,2)
y -2 = 2/3(x - -6)
y -2 = 2/3(x +6)
y-2 = 2/3 x +4
y = 2/3x +6 x< -3
The graph is a line for x > 3
(3,3) and ( 6,5)
The slope is m= ( y2-y1)/(x2-x1)
m = ( 5-3)/(6-3) = 2/ (3) = 2/3
The slope is 2/3
Using point slope form
y-y1 = m(x-x1) and the point (6,5)
y -5 = 2/3(x - 6)
y-5 = 2/3 x -4
y = 2/3x +1 x> 3
Answer:
Step-by-step explanation:
The slope formula is 
Here, 
is -6, 
is 4, 
is -5, and 
is 4.
So, the slope of the line passing through the points (-6,-5) and (4,4) is .
