Find the value of x or y so that the line passing through the two points has the given slope.

(-1,4) (X,3); M=2/3

(3-4)/(x+1) = 2/3

Gracias, Mi amigos

To find the value of x or y that satisfies the given condition, we can use the slope formula:

M = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of two points on the line and M is the slope.

In this case, we can use the point (-1, 4) as (x1, y1) and the point (x, 3) as (x2, y2). The given slope, M, is 2/3. Plug in these values into the slope formula:

2/3 = (3 - 4) / (x - (-1)).

Simplify this equation:

2/3 = -1 / (x + 1).

To solve for x, we can cross-multiply:

2(x + 1) = -3.

Expand and solve for x:

2x + 2 = -3,
2x = -3 - 2,
2x = -5,
x = -5/2.

Therefore, the value of x that satisfies the given condition is x = -5/2.