The pair of points (-4, y) and (6, 5) lie on a line with a slope of 2 / 5. The correct set-up of this problem is 5 - y/ 6- (-4 ) =2/5. When solving this problem, in order to get the variable y out of the numerator, you must? The correct value for the missing y is?
wrong yet again!
(5 - y)/(6- (-4 )) = 2/5
(5-y)/10 = 2/5
since 4/10 = 2/5,
5-y = 4
y = 1
Apologies for the mistake.
You are correct. The correct set-up of the equation is:
(5 - y) / (6 - (-4)) = 2/5
Simplifying the denominator:
(5 - y) / (6 + 4) = 2/5
(5 - y) / 10 = 2/5
Since 4/10 is equivalent to 2/5, we can rewrite the equation as:
(5 - y) / 10 = 4/10
Now, cross multiplying:
10 * (5 - y) = 4 * 10
50 - 10y = 40
Subtracting 50 from both sides:
-10y = 40 - 50
-10y = -10
Dividing both sides by -10:
y = -10 / -10
y = 1
Therefore, the correct value for the missing y is 1.
To get the variable y out of the numerator, you must cross multiply.
First, rewrite the equation to have the variable y in the numerator:
5 - y / (6 - (-4)) = 2/5
Next, cross multiply:
(5 - y) * 5 = (6 - (-4)) * 2
Expand both sides:
25 - 5y = 12 * 2
Simplify:
25 - 5y = 24
Next, isolate the variable y by subtracting 25 from both sides:
-5y = -1
Finally, divide both sides by -5 to solve for y:
y = 1/5
Therefore, the correct value for the missing y is 1/5.