Question

Find the missing x or y coordinate that gives the stated between the two points given.

(5, y) and (4, -2) ; m=-5
A) y=3
B) y=−13
C) x=−1
D) x=9

Answer 1

The missing y-coordinate for point (5, y) with a slope of -5 and another point (4, -2) is calculated to be -7. None of the provided options match this answer, indicating a possible error in the question.

Step-by-step explanation:

To find the missing y-coordinate for the point (5, y) given the slope m = -5 and another point (4, -2), you can use the formula for the slope of a line between two points:

m = (y2 - y1) / (x2 - x1)

Plugging in the given values we get:

-5 = (y - (-2)) / (5 - 4)

-5 = y + 2

Subtract 2 from both sides:

-5 - 2 = y

y = -7

Thus, the correct missing y-coordinate that gives the stated slope is y = -7, which is not one of the options provided, suggesting there may be a typo or an error in the question.