The equation of the line through point (-5, 0) and parallel to the y-axis is

x = -5
y = -5
x + y = -5

x = -5

Step-by-step explanation:

Any line parallel to y - axis has undefined slope and the line is in the form x =k.

Here, k is the x- coordinate of  the point through which the line is passing.

Now, we have been given that the line is passing through the point (-5, 0).

Therefore, the value of k is -5.

Hence, the equation of the line through point (-5, 0) and parallel to the y-axis is x = -5.

First option is correct.

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.