Question

Find the midpoint of the line y = 3x + 9 on the interval 1 < x < 9. (x, y) = ?

Answer 1

Answer:

(5, 24)

Step-by-step explanation:

In order to find the midpoint of a line, you need two sets of coordinates. The formula to find the midpoint of a line is $(\frac{x1+x2}{2} ,\frac{y1+y2}{2} )$, where $x1$ is the x-coordinate of one of the coordinates and $x2$ is the x-coordinate of the second coordinate (and so on for $y1$ and $y2$).

In this question, we're not given the two sets of coordinates to find the midpoint from. But we are told there is an interval 1 < x < 9, so first we substitute x=1 into the equation of the line: $y=3$×$1+9$ = 3 + 9 = 12. So one of the coordinates is (1, 12). Doing the same with x=9, will give us y = 24.

Now if we use the formula I've written above, we should get (5, 24).