Question

Write the equation of the line which passes through (5, –2) and is parallel to x = 4

Answer 1

x=5

Answer 2

wait how is it 5

Answer 3

So the slope of x=4 doesn't exist. Therefore, the slope of 5, -2 would also not exist. Therefore, the slope of x=4, x=5 would be the same. It is a vertical line, So it doesn't matter where the y point really is. You could even have (5, -3), or (5, -4). The y value can change, but since you are looking for a equation that is parallel to x=4, then you only need the x value.

Answer 4

Does that make sense? If not, just ask.

Answer 5

so do you add 5 and 4

Answer 6

no

Answer 7

The question is asking, find a line that is parallel to x=4. The line x=4 does not have a slope. When it is asking to find something parallel to something, you use the same slope.

Answer 8

So x=4 is a line that is vertical and goes through the point (4, 0), (4, 1), etc. The y values can be anything.

Answer 9

Now, you also have a point 5, -2