Which of the following equations graphs as a vertical parallel to the y-axis?
1 answer:
Answer:
x = 1 is the equation of a vertical line parallel to y-axis, as shown in attached figure.
Step-by-step explanation:
- As the equation of y-axis is
.
- If a line is parallel to y-axis i.e. x=0, then location of the that line will have at some distance - let say d - from y.
- The Distance d will be positive or negative depending on whether the line is located at the left side or right side of the y-axis.
- So, the equation of any parallel line to the y-axis and has an x-intercept will have an equation like x = a where a is the x-intercept.
- The slope of this vertical line will be undefined.
Therefore, from the above discussion, we can safely say that x = 1 is the equation of a vertical line parallel to y-axis, as shown in attached figure.
<em>Keywords: graph, vertical line parallel to y-axis.</em>
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<h2>Hello!</h2>
The answer is:
The x-coordinate of the solution to the system of equations is:
We can solve the problem writing both equations as a system of equations.
So, we are given the equations:
Then, solving by reduction we have:
Multiplying the first equation by 2 in order to reduce the variable "x", we have:
Now, substituting "y" into the first equation, to isolate "x" we have:
Hence we have that the x-coordinate of the solution to the system of equations is
Have a nice day!