Find the slope of the line passing through the points (0, -4) and (-6, 7).
slope=deltay/deltax=(7+4)/(-6)
(change in y)/(change in x)
= [7 -(-4)] / [-6 - 0]
= -11/6
To find the slope of a line passing through two points, you can use the formula for slope, which is:
slope = (change in y-coordinates) / (change in x-coordinates)
Let's label the coordinates as follows:
Point 1 = (x1, y1) = (0, -4)
Point 2 = (x2, y2) = (-6, 7)
Now, plug these values into the slope formula:
slope = (y2 - y1) / (x2 - x1)
= (7 - (-4)) / (-6 - 0)
= (7 + 4) / (-6)
= 11 / -6
Therefore, the slope of the line passing through the points (0, -4) and (-6, 7) is -11/6.