52.5k views
4 votes
(5, -7) and (x, 4); slope: -11

User MER
by
8.6k points

1 Answer

3 votes

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:

User George Vardikos
by
8.6k points

No related questions found