Answer:
The equation of the line that is passing through the point (5,4) and is parallel to x-axis would be
Step-by-step explanation:
Given that the line passes through the point (5,4).
As the line is parallel to the x-axis, the slope of the line would be zero.
And we have point (5,4) from which the line is passing.
So,
The equation of the line passing through point is
So, the equation of the line that is passing through the point (5,4) and is parallel to x-axis would be
Answer:
Both equation represent functions
Step-by-step explanation:
The function is the relation that for each input, there is only one output.
A. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
To check whether the equation represents a function, you can use vertical line test. If all vertical lines intersect the graph of the function in one point, then the equation represents the function.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see blue graph in attached diagram). So this equation represents the function.
B. Consider the equation
This equation represents the function, because for each input value x, there is exactly one output value y.
When you intersect the graph of the function with vertical lines, there will be only one point of intersection (see green graph in attached diagram). So this equation represents the function.
