The pair of points (6, y) and (10, –1) lie on a line with slope . What is the value of y?

Question

(1 point)
Responses

–5
–5

–2
–2

2
2

5
5
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Answer 1

To find the value of y, we need to first find the slope of the line. The slope is given as . We can use the formula for slope:

slope = (change in y) / (change in x)

Using the given points, we have:

slope = (y - (-1)) / (6 - 10)

Simplifying:

slope = (y + 1) / -4

Now, equating this to the given slope:

(y + 1) / -4 =

Cross multiplying:

-4 =

Simplifying:

y + 1 = 24

Subtracting 1 from both sides:

y = 23

Therefore, the value of y is 23.