Given the equations y=16 and y=3.
Determine the slope and y-intercept if any exist.
I have determined that the slope is 0 for both equations because it is a horizontal line, but I don't know what the y-intercepts are?
recall that the y-intercept is where the line crosses the y-axis.
The line y=16 clearly crosses the y-axis at y=16, because it is 16 for any value of x, in particular, x=0.
Thank you! I finally understand!
<head slap>
dontcha hate it when that happens?
Still, the aha! moment is worth the pain.
To determine the y-intercepts of the given equations, we need to identify the value of y when x is equal to 0.
For the equation y = 16, substitute x = 0 into the equation:
y = 16(0)
y = 0
Therefore, the y-intercept of the equation y = 16 is 0.
For the equation y = 3, substitute x = 0 into the equation:
y = 3(0)
y = 0
Therefore, the y-intercept of the equation y = 3 is also 0.
To summarize:
For the equations y = 16 and y = 3, both have a slope of 0, indicating a horizontal line. Additionally, both equations have a y-intercept of 0.