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 ) β ( - 4 ) = y + 1
- 1 = y + 1
Subtract 1 to both sides
- 1 - 1 = y + 1 - 1
- 2 = y
y = - 2
Ansver B
Itβs 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.