Question

Plz help!!

The pair of points lies on the same line with the given slope. Find x. ​(3​,​4), ​(x,11,); slope=2

Answer 1

`y = 2x - 2 \\ y = mx + c`

When the point is (3,4) and slope=2

`4 = 2 * 3 + c \\ 4 = 6 + c \\ \boxed{c = - 2}`

Now, when the point is (x,11) and slope=2

`11 = 2x - 2 \\ 2x = 13 \\ x =(13)/(2) \\ \boxed{x = 6.5 }`

6.5 is the right answer.

Answer 2

x = 6.5

Explanation:

The image below shows that the equation y = 2x - 2 (which has a slope of 2) passes the the points (3, 4) and (6.5, 11); when x = 6.5

Hope this helps! :)