The slope of a line is a measure of the steepness of the line and is calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are two points on the line.
To find the slope of the line that contains the points (4,3) and (-6,27), we can substitute the coordinates of the points into the formula:
slope = (27 - 3) / (-6 - 4)
Solving this equation, we find that the slope of the line is:
slope = 24 / -10
Simplifying the fraction, we get:
slope = -12/5
Therefore, the slope of the line that contains the points (4,3) and (-6,27) is -12/5.