The Pair of points (-6,y) and (4,8) lie on line with a slope of 5/2
The formula used to solve for the slope of a line is
slope = (y2 - y1) / (x2 - x1)
Using the given points (-6, y) and (4, 8), the slope can be calculated as:
slope = (8 - y) / (4 - (-6))
slope = (8 - y) / 10
Since the slope is given as 5/2, we can equate this to the calculated slope:
5/2 = (8 - y) / 10
Now, we can solve for y:
(8 - y) / 10 = 5/2
2(8 - y) = 5(10)
16 - 2y = 50
-2y = 50 -16
-2y = 34
y = 34 / -2
y = -17
Therefore, the value of y is -17.
The correct set-up of this problem is 8-y/4-(-6) =
(8 - y) / (4 - (-6)) = 5/2
When solving this problem, in order to get the variable y out of the numerator, you must
multiply both sides of the equation by (4 - (-6)).
(8 - y) / (4 - (-6)) = 5/2
Cross multiply:
2(8 - y) = 5(4 - (-6))
Distribute:
16 - 2y = 20 - 30
Combine like terms:
-2y = -10
Divide both sides by -2:
y = 5
Therefore, the value of y is 5.
the correct value for the missing y is
Apologies for the confusion. Let's solve the equation correctly:
(8 - y) / (4 - (-6)) = 5/2
Simplify the numerator and denominator:
(8 - y) / (4 + 6) = 5/2
(8 - y) / 10 = 5/2
Cross multiply:
2(8 - y) = 5(10)
Distribute:
16 - 2y = 50
Subtract 16 from both sides:
-2y = 34
Divide both sides by -2:
y = 34 / -2
y = -17
Therefore, the correct value for y is -17.
the correct value for the missing y is?
Apologies for the confusion. Let's solve the equation correctly:
(8 - y) / (4 - (-6)) = 5/2
Simplify the numerator and denominator:
(8 - y) / (4 + 6) = 5/2
(8 - y) / 10 = 5/2
Cross multiply:
2(8 - y) = 5(10)
Distribute:
16 - 2y = 50
Subtract 16 from both sides:
-2y = 34
Divide both sides by -2:
y = 34 / -2
y = -17
Therefore, the correct value for the missing y is -17.