state the slope and the y-intercept for the graph of y=-4x

explain please

To find the slope and y-intercept for the graph of the equation y = -4x, we can refer to the equation in slope-intercept form: y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the equation given is already in slope-intercept form, y = -4x. The coefficient of x, -4, represents the slope of the line. The slope indicates how steep the line is and whether it rises or falls as x increases.

In this case, since the slope is -4, it means that for every increase of 1 unit in x, the value of y decreases by 4 units. This creates a line that slopes downward at a steep rate.

However, since there is no constant term (b) in the equation, the line does not intersect or cross the y-axis. As a result, the y-intercept is 0.

So, to summarize:
- The slope of the line is -4, which means the line decreases by 4 units in y for every 1 unit increase in x.
- The y-intercept is 0, meaning the line does not intersect the y-axis.

To visually represent the line, you can plot the points (0, 0), (1, -4), (2, -8), (3, -12), and so on, and connect these points to form a straight line with a negative slope of -4.