Which equation represents a proportional relationship?
2 answers:
Answer:
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope of the line m, and the line passes trough the origin
so
case A)
Is a linear equation but does not passes trough the origin
case B)
Is a linear equation and passes trough the origin-----> represent a proportional relationship
case C)
Is a linear equation and passes trough the origin-----> represent a proportional relationship
case D)
Is a linear equation but does not passes trough the origin
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Answer:
the minimum value is -2
Step-by-step explanation:
this is because when you graph a positive function (right side up u-shaped) the minimum value is always the vertex. when finding maximum and minimum value you always want to use the "y" part of the coordinate for example (x,y) or plugging in numbers let's say you have (2,3) the y coordinate would be 3. In the picture there is the function you are graphing and the vertex is at (0,-2) the minimum value (the y coordinate) is -2. If you wanted to find the maximum value of this function you would need a specific range like 5<x<4. you would need a range because the parabola actually goes on infinitely because there are no endpoints. a parabola is pretty much a u-shaped line on a graph. If the graph were negative meaning that the equation would look like this, -6x^2-2 then the graph would be an upsidedown u shape and the minimum value we just found would become the maximum value and you would need a special range to find the minimum in that case.
