Create an image that visually represents a mathematical problem involving two points on a graph with dimensions labeled as 'x' and 'y'. The points are represented by small circles, one at the coordinates (6,y) and the other one at the coordinates (10,-1). Emphasize that they perfectly align on a straight line with a slope of 1/4. Be sure to not include any text in the image.

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

A. -5

B. -2

C. 2

D. 5

I think its C but Im not sure, help?

Hi! Rate of Change and Slope Answers:

1. C -1/3
2. D (11,13),(8,18)
3. B -2
4. D Undefined
5. D 55/1

Hope this helps!

The answer is NEGATIVE 2 because if you look at the points (6, y) and (10, -1) if its rise overrun then the answer is B.

Remember if it's a negative 1 and its rise overrun then the answer flips to a negative 2. Hope this helped.

Hi! Rate of Change and Slope Answers:

1. C -1/3
2. D (11,13),(8,18)
3. B -2
4. D Undefined
5. D 55/1

Hope this helps!

The slope of a straight line :

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

In this case:

x1 = 6 , x2 = 10

y1 = y , y2 = - 1

So:

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

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

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

Multiply both sides by - 4

( 1 / 4 ) βˆ™ ( - 4 ) = y + 1

- 1 = y + 1

Subtract 1 to both sides

- 1 - 1 = y + 1 - 1

- 2 = y

y = - 2

Ansver B

It’s B

keep in mind rise over run. from 10, -1, go down 1 and 4 left. what is your coordinate?

Hinata Shoyo is correct for all 5

t's y2-y1/x2-x1 not the other way around

Thank you all so much

To find the value of y, we can use the slope formula:

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

We are given the slope of 1/4, and two points on the line: (6, y) and (10, -1).

Using the slope formula, we can write:

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

Simplifying this equation, we get:

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

To get rid of the fraction, we can cross-multiply:

4(y + 1) = -4

Distributing 4 on the left side, we have:

4y + 4 = -4

Now, isolate the variable y by subtracting 4 from both sides of the equation:

4y = -4 - 4

4y = -8

Finally, divide both sides by 4 to solve for y:

y = -8 / 4

Simplifying the expression, we get:

y = -2

Therefore, the value of y is -2. So, the correct answer is B.