Question

The equation of the line through point (- 4, 0) and parallel to the y-axis is

x = -4
y = -4
x + y = -4

Answer 1

The answer is X=-4 because for all Y values, X would have to equal negative for for the line to be parallel to the y-axis. Thus x will always equal -4.

Answer 2

`\text{The equation of line is }x=-4`

Explanation:

Given that line is passing through the point (-4, 0) and parallel to the y-axis.

we have to find the equation of the line.

`\text{As the slope of y-axis is }\infty\text{ i.e }(1)/(0)`

Since the slope of parallel lines are equal therefore we have to find the equation of line with slope infinity and passing through the point (-4, 0).

The equation of line pass through the point (x',y') with slope m is

`y-y'=m(x-x')`

The equation of line with slope infinity and passing through the point (-4, 0) is

`y-0=(1)/(0)(x-(-4))`

`x+4=0`

`x=-4`

which is required equation.

Hence, option 1 is correct.