Find the constant of variation k for the direct variation 4x = -y
2 answers:
Answer:
The constant of variation k is, -4
Step-by-step explanation:
The direct variation says that:
, then the equation is in the form of:
....[1] where, k is the constant of variation.
As per the statement:
Given the direct variation:
Divide both sides by -1 we have;
or
y = -4x
On comparing with [1] we have;
k = -4
Therefore, the constant of variation k is, -4
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Answer:
Step-by-step explanation:
we have the points
(-3,1) and (0,3)
step 1
Find the slope m of the line
The formula to calculate the slope between two points is equal to
substitute the values
step 2
Find the equation of the line in slope intercept form
we have
----> the y-intercept is the point (0,3)
substitute the values
step 3
Find the equation of the inequality
we know that
The slope is positive
Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)
Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)
therefore
The equation of the inequality is of the form y > ax+b
The inequality is
see the attached figure to better understand the problem
