Question

Points (-21, ) and (-7, y) have a slope of 5. Find the y coordinate of the point.

Option 1: 3
Option 2: 2
Option 3: -3
Option 4: None of the other answers are correct

Answer 1

To find the y-coordinate of the second point with a slope of 5, we used the slope formula but could not determine the exact value of y without the y-coordinate of the first point. Thus, the correct choice is Option 4: None of the other answers are correct.

Step-by-step explanation:

To find the y-coordinate of the point (-7, y) given that the slope of the line passing through (-21, ) and (-7, y) is 5, we can use the slope formula: slope (m) = (y2 - y1) / (x2 - x1). Let's assume the missing y-coordinate for the first point is y1 and the y-coordinate for the second point is y2. Then, we have:

5 = (y - y1) / (-7 - (-21))

5 = (y - y1) / (14)

Now, to solve for y, we multiply both sides by 14:

5 * 14 = y - y1

70 = y - y1

Since we do not have the value for y1, we cannot determine the exact value of y without further information. However, we can conclude that Option 4: None of the other answers are correct, is the appropriate choice for this problem.