The pair of points lies on the same line with the given slope. Find x.
(3,4), (x,16); slope =3
Find x
x=
We can use the slope formula, which states that the slope between two points (x1,y1) and (x2,y2) is given by:
m = (y2 - y1) / (x2 - x1)
In this case, we have the points (3,4) and (x,16), and the slope is 3. Plugging in these values into the slope formula, we get:
3 = (16 - 4) / (x - 3)
To simplify, we can multiply both sides of the equation by (x - 3):
3(x - 3) = 16 - 4
Expanding the left side of the equation:
3x - 9 = 12
Adding 9 to both sides of the equation:
3x = 21
Dividing both sides of the equation by 3:
x = 7
Therefore, x = 7.