The points (x,3) and (2,-2) have a slope of 1/4. what is the x coordinate of the point (x,3)

To find the x-coordinate of the point (x,3), we need to use the slope formula and the coordinates of the given points.

The slope formula is:
m = (y2 - y1) / (x2 - x1)

Let's use the points (x,3) and (2,-2) to find the slope:
m = (3 - (-2)) / (x - 2)

Given that the slope is 1/4, we can substitute it into the equation:
1/4 = (3 - (-2)) / (x - 2)

Now, we can solve this equation to find the value of x:
1/4 = 5 / (x - 2)

To get rid of the fraction, we can cross-multiply:
5(x - 2) = 4

Expanding the equation:
5x - 10 = 4

Now, solve for x:
5x = 4 + 10
5x = 14
x = 14/5

Therefore, the x-coordinate of the point (x,3) is 14/5.

y = (1/4) x + b

-2 = (1/4)(2) + b
-2 = 1/2 + b
-2.5 = b
so
y = (1/4) x -2.5
put in y = 3
3 = (1/4) x - 2.5
5.5 = 1/4 x
x = 22