Respuesta :
Answer:
Horizontal and it's slope is 0.
Step-by-step explanation:
y=a number is horizontal while x=a number is vertical.
The slope of horizontal lines are 0 because there is no rise.
The slope of vertical lines are undefined because there run is 0.
Slope is equal to rise over run.
y=-8 is horizontal because it represents all the points in the form (x,-8) where x is any real number.
Graph as many points as you want in the form (x,-8), you should see a horizontal line formed. The slope of y=-8 is 0.
Example of points in the form of (x,-8):
(-10,-8)
(-5,-8)
(-1,-8)
(0,-8)
(1,-8)
(5,-8)
(10,-8)
All of these go down 8 units after going left or right however many.
This is a horizontal line 8 units below the x-axis.
Answer:
Horizontal
0
Step-by-step explanation:
No matter what the x value is, the y value is - 8. Make a small table to see what that means.
x y
2 -8
0 -8
- 2 -8
See what's happening?
Look at the y intercept. The y value is - 8 when x = 0. It is also - 8 when x = 2.
Make a rough drawing on a scrap piece of paper. Plot just those 2 points. Roughly. You don't even need a ruler.
What do you see? The line must be going horizontally.
The next question is a little harder. It is not obvious, but you do know that this line either goes horizontally or vertically. So the slope can either be 0 or undefined. There is no third choice.
The general equation is y = mx + b
There is no x in y = - 8
Therefore the slope is 0. That's the only way you could get rid of the x.
