Answer:
To find the value of 'x' when the slope between the points (5, -7) and (x, 4) is -11, we can use the formula for slope:
slope = (y2 - y1) / (x2 - x1)
In this case, (x1, y1) = (5, -7) and (x2, y2) = (x, 4). We know the slope is -11. Plugging in these values, we get:
-11 = (4 - (-7)) / (x - 5)
Simplifying further:
-11 = (4 + 7) / (x - 5)
-11 = 11 / (x - 5)
To solve for 'x', we can cross-multiply:
-11(x - 5) = 11
-11x + 55 = 11
-11x = 11 - 55
-11x = -44
x = (-44) / (-11)
x = 4
Therefore, when the slope between the points (5, -7) and (x, 4) is -11, the value of 'x' is 4.
Explanation: