If y varies directly as x, and y is 20 when x is 4, what is the constant of variation for this relation?
2 answers:
Answer: 5
Step-by-step explanation:
Let k be the constant of variation for this relation.
If y varies directly as x, then the equation of direct variation is given by ;-
, where k is the constant of variation for the relation.
Now, for the given value of y = 20 and x=4, the value of constant of variation is given by :-
Hence, the value of constant of variation for this relation k = 5.
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Answer:
The graph that includes points (-3,-3) and (0,3)
Step-by-step explanation:
In the pictures attached, the options are shown.
The equation:
y+3=2(x+3)
has the point-slope form, which is:
y-y₁=m(x-x₁)
where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:
y+3=2(0+3)
y+3 = 6
y = 6 - 3
y = 3
Then, point (0, 3) is on the line.
