Question

Find the value of y so that the line passing th (-1,2)(1,y)m=3 Select the correct response:

Answer 1

The value of y that makes the slope of the line through the points (-1, 2) and (1, y) equal to 3 is 8.

Step-by-step explanation:

To find the value of y so that the line passing through the points (-1,2) and (1,y) has a slope of 3, we can use the slope formula m = (y2 - y1) / (x2 - x1).

Here, we know the following:

• x1 = -1
• y1 = 2
• x2 = 1
• y2 = y (this is what we want to find)
• m = 3

Now, substituting the known values into the slope formula:

3 = (y - 2) / (1 - (-1))

Multiplying both sides by the denominator, we get:

3 * 2 = y - 2

Thus:

6 = y - 2

Adding 2 to both sides gives us:

y = 8

The value of y that makes the slope of the line 3 is 8.