Finding liner equation need help to see if it's correct answer

[Solar_blaze]

I am not sure on my answer
1)It says "find the liner equation which passes through the point (1,-3) and it's parallel to the liner Y=-5.

2)find the liner equation which passes through the point (-2,0) and it's parallel to the liner X=1.

As I understood those 2 questions have no slope so their answer is linked to the X and Y of each point

The first answer is liner equation 1) is Y=-3
And the second answer is liner equation 2) is X=-2

 

[Ishuda]

I am not sure on my answer
1)It says "find the liner equation which passes through the point (1,-3) and it's parallel to the liner Y=-5.

2)find the liner equation which passes through the point (-2,0) and it's parallel to the liner X=1.

As I understood those 2 questions have no slope so their answer is linked to the X and Y of each point

The first answer is liner equation 1) is Y=-3
And the second answer is liner equation 2) is X=-2

Your answers are correct but the statement 'the 2 questions have no slope' is incorrect for at least part (1). Writing the equation for the line in the slope/intercept form we have for the line y=-5
y = 0 * x - y
so the slope is zero.

Whether there is a slope in the second question depends on just where you are in your studies but certainly it is always correct to say that there is no slope in the context of there is no finite slope. However, in cases like this one can write the line X=1 in a general equation form as
0 * y + 1 * (x - c) = 0.
where c is 1. If we write another line
a * y + 1 * (x - c) = 0
where a is not zero, then the slope is 1/a. If we have a line parallel to that then we have the line
y + (1/a) * (x - d) = 0
which, if we multiply through by a,
is a general form of
a y + x - d = 0
If we want that to look like the general form of the x=1 line then a is zero and we have
0 * y + x - d = x - d = 0
and since the line goes through (-2, 0) the value of d is -2 (which is as you have presented it)

Of course that is the long way around to the solution but then I like rambling on sometimes.