Problem #3
I have to graph
y =4
therefore doesn't this run right on 4 going horizontal.
Then it asks:
List the y-intercepts coordinate and the slope of the graph?
Therefore there is no slope and for the y-intercept I do not know what to do or say.
Where does the line cross the y axis?
To graph the equation y = 4, you are correct that the line will be a horizontal line running right through the y-coordinate of 4.
To find the y-intercept of the graph, we need to determine the point where the line crosses the y-axis. Since the equation y = 4 does not contain an x-term, it means that the line is parallel to the x-axis. In this case, the line does not cross the y-axis because it is already positioned at y = 4. Therefore, the y-intercept is the point (0, 4).
Since the slope represents the change in y divided by the change in x for any two points on a line, it can be calculated using the formula: slope = (change in y) / (change in x).
In the case of the equation y = 4, since the line is parallel to the x-axis and does not change in the y-direction for any change in the x-direction, the change in y will always be 0. Therefore, the slope of the graph is 0.