Identify the variation as direct, inverse, joint or combined. y = 7x
2 answers:
Answer:
y =7x , follows the direct variation.
Step-by-step explanation:
Direct variation states that a relationship between two variables in which one is a constant multiple of the other. In other words, when one variable changes the other changes in proportion to the first.
If y is directly proportional to x i.e, or
y = kx .....[1] where k is the constant variation
Given : y = 7x
On comparing this with equation [1] we get;
k(constant of variation) = 7
therefore,
it follows the direct variation as or
y = 7x where k =7 is the constant of variation.
Therefore, y =7x follows the direct variation.
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The system of equation is
To find:
The solution of given system of equations.
Solution:
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
Write the given equation in slope intercept form.
The first equation is
...(i)
Here, slope is and y-intercept is 4.
The second equation is
...(i)
Here, slope is and y-intercept is -4.
Since the slopes of both lines are same but the y-intercepts are different, therefore the given equations represent parallel lines.
Parallel lines never intersect each other. So, the given system of equation has no solution.
Hence, the correct option is B.