Question

1.Give the coordinates of two points on the line x = 5.
2.Give the coordinates of two points on the line y = -2.
3.Write the equation of the horizontal line passing through the point (-1, -8).
4.Write the equation of the vertical line passing through the point (3, 1).
5.Is the line with equation x = 4 horizontal or vertical? What is the slope of this line?
6.Is the line with equation y = -8 horizontal or vertical? What is the slope of this line?

Answer 1

1. (5,0) and (5,1)
2. (3,-2) and (-5, -2)
3. Y= -8
4.x = 3
5. vertical. slope undefined
6. horizontal. slope zero

Answer 2

thanks! but i dont understan why

Answer 3

if x =5 , no matter what point you use at that line... you will always have coordinates (5,_)
because x MUST be 5 so you will get a vertical line.
If y is =-8, then all points on that line will be (_,-8). it will be a horizontal line because y must be 8

Answer 4

Slope is undefined in it is a vertical line because it technically has an infinite rise over no run. Slope is zero when it is a horizontal line as it has no rise over run Example > \[\frac{ 0 }{ 5 }\]