Question

The pair of points (6, y) and (10, -1) lie on a line with a slope of m = 1/8. What is the value of y?

a) y = 1
b) y = 0
c) y = -1
d) y = 2

Answer 1

Using the slope formula, the calculation indicates that y should be -1.5. However, this is not an option, suggesting there may be a typo. The closest provided option to the calculated value is -1 (option c).

Step-by-step explanation:

To find the value of y for the point (6, y) on a line with slope m = 1/8 that passes through the point (10, -1), we can use the slope formula:

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

Plugging in our known values, we get:

1/8 = (-1 - y) / (10 - 6)

Now we solve for y:

1/8 = (-1 - y) / 4

4 * 1/8 = -1 - y

1/2 = -1 - y

y = -1 - 1/2

y = -1.5

However, none of the provided options match -1.5, which suggests there might be a typo in the question. If we assume y is close to the choices given, then option c is the closest to our calculated value.