what is the slope of a line if the y-intercept is 4 and the second point is 2?
To calculate the slope of a line given the y-intercept and a second point, we need to determine the coordinates of the two points first.
Let the y-intercept be point A with coordinates (0, 4) and the second point be point B with coordinates (x, y).
Since the y-intercept is (0, 4), the y-coordinate of point B is also 4.
The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated by the formula:
slope (m) = (y2 - y1) / (x2 - x1)
In this case, y1 = 4 and y2 = 4. Let's say x2 = 2 (the x-coordinate of point B).
slope (m) = (4 - 4) / (2 - 0)
slope (m) = 0 / 2
slope (m) = 0
Therefore, the slope of the line passing through the y-intercept (4) and the second point (2) is 0.