Question

PLEASE HELPPP!!

The pair of points (-6, y) and (4,8) lie on a line with a slope of 5/2. Set up and solve for the missing y-value using the slope formula. Show all work to receive credit.

Answer 1

To find the missing y-value, we use the slope formula and substitute the given values. Simplifying the equation gives us the missing y-value of -17.

Step-by-step explanation:

To solve the equation and find the missing y-value, we can use the slope formula. The slope formula is given by:

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

In this case, the given slope is 5/2 and one point on the line is (4,8). Let's call the missing y-value y. The other point can be represented as (-6, y). We substitute the values into the slope formula:

5/2 = (y - 8) / (-6 - 4)

Next, we simplify and solve for y:

5/2 = (y - 8) / (-10)

5/2 * (-10) = y - 8

-25 = y - 8

y = -25 + 8

y = -17

Answer 2

Step-by-step explanation:

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

Slope = 5/2

x1 = -6

y1 = y

x2 = 4

y2 = 8

5/2 = (8-y) / (4 - (-6))

5/2 = (8-y) / (4+6)

5/2 = (8-y) / 10

5 x 10 = 2 x (8-y)

50 = 16 - 2y

2y = 16 - 50

2y = -34

y = -17