Determine the slope m and y-intercept (if possible) of the linear equation. (If the slope is undefined, enter UNDEFINED. Enter NONE if there is no y-intercept.)
y = 18
slope: m=
y-intercept: (x,y)=
describe it's graph:
a) The line is vertical and passes through (18, 0).
b) The line passes through (0, 1) and rises 1 unit for each horizontal increase of 18 units.
c) The line passes through (0, 18) and rises 1 unit for each horizontal increase of 18 units.
d) The line passes through (18, 0) and falls 18 units for each horizontal increase of 1 unit.
e) The line is horizontal and passes through (0, 18).
For the equation y = 18, the slope is undefined (m = UNDEFINED) because the equation represents a horizontal line.
Since the equation is y = 18, the line is horizontal and passes through the point (0, 18).
So, the correct answer is:
slope: m = UNDEFINED
y-intercept: none
The graph of the equation y = 18 is a horizontal line passing through the point (0, 18).
To determine the slope (m) and y-intercept of the linear equation y = 18, we can analyze the equation itself.
The given equation y = 18 represents a horizontal line passing through the y-coordinate 18. Since the equation is y = 18, the line has a constant y-value of 18 regardless of the x-value.
Therefore, the slope (m) for this equation is 0 because there is no change in y while x varies.
However, in this case, there is no y-intercept because the line is parallel to the x-axis and does not intersect it. So, the y-intercept is none.
Describe its graph:
The correct choice is e) The line is horizontal and passes through (0, 18).
Since the line is horizontal, it will be a straight line parallel to the x-axis. It will pass through the y-coordinate 18, but its position on the x-axis is not specified as it extends infinitely in both directions.