The pair of points (6, y) and (10, - 1) lie on a line with slope 1/4 What is the value of y? (1 point) -5, -2, 2, 5,

Answer 1

To find the value of y, we first need to find the equation of the line using the given information.

We know that the slope of the line is 1/4, and we have two points: (6, y) and (10, -1).

Using the formula for slope, we can find the equation of the line:

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

1/4 = (-1 - y) / (10 - 6)

Multiplying both sides by (10 - 6) to isolate (-1 - y):

1/4 * 4 = (10 - 6) * (-1 - y)

1 = 4(-1 - y)

1 = -4 - 4y

Adding 4 to both sides:

5 = -4y

Dividing both sides by -4:

y = -5/4

Therefore, the value of y is -5/4 or -1.25 (approximately).

So, the answer is -5/4 or -1.25.

Answer 2

There only one answer,
A.-5
B.-2
C.2
D.5

Answer 3

Apologies for the mistake.

To determine the value of y, we can use the slope-intercept form of a linear equation, y = mx + b, where m is the slope and b is the y-intercept.

From the given information, we know the slope is 1/4. Let's use the point (6, y) to find the equation:

y = (1/4)(6) + b
y = 3/2 + b

Now, substitute the other known point (10, -1) into the equation and solve for b:

-1 = (1/4)(10) + b
-1 = 5/2 + b
b = -1 - 5/2
b = -7/2

Therefore, the equation of the line is y = (1/4)x - 7/2.

To find the value of y when x = 6, substitute x = 6 into the equation:

y = (1/4)(6) - 7/2
y = 3/2 - 7/2
y = -4/2
y = -2

So, the value of y is -2.

The correct answer is B.-2.