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?

Answer 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.

Answer 2

wrong yet again!
(5 - y)/(6- (-4 )) = 2/5
(5-y)/10 = 2/5
since 4/10 = 2/5,
5-y = 4
y = 1

Answer 3

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.