Question

Find the missing coordinate for the ordered pairs (-3, k) and (1,3) that willgive a slope of7/2

Answer 1

-17

Given the coordinates: (3, k) and (1, 3)

Slope = 7/2

To find the missing coordinate, k, use the slope formula below:

`m\text{ = }(y2-y1)/(x2-x1)`

Where,

(x1, y1) = (-3, k)

(x2, y2) = (1, 3)

m = 7/2

Substitute the figures into the slope equation:

`(7)/(2)=\text{ }(3-k)/(1-(-3))`

Cross multiply:

`\begin{gathered} 2(3-k)\text{ = 7(1+3)} \\ \\ 6\text{ - 2k = 7 + 21} \\ \\ -2k\text{ = 7 + 21 + 6} \\ \\ -2k\text{ = }34 \\ \\ k\text{ = }(34)/(-2) \\ \\ k\text{ = }-17 \end{gathered}`

Therefore, the missing coordinate, k is -17