Find the slope, if it exists, of the line containing the pair of points.
(7,4) and (10,-5)
Simplify answer as integer or fraction.
(Y2-Y1)/(X2-X1) = (-5-4)/(10-7) =-9/3=-3
To find the slope of a line containing two points, you can use the formula:
slope (m) = (change in y-coordinate) / (change in x-coordinate)
Given the points (7, 4) and (10, -5), we can calculate the change in y-coordinate and change in x-coordinate as follows:
Change in y-coordinate = y2 - y1 --> (-5) - (4) = -9
Change in x-coordinate = x2 - x1 --> (10) - (7) = 3
Now, we can substitute these values into the slope formula:
slope = (-9) / 3 = -3
Therefore, the slope of the line that passes through the points (7, 4) and (10, -5) is -3.