Find the value of x such that the line through the pair of points has the given slope: (-1, 4) and (x, 5); m = -1/2

x = -3

Step-by-step explanation:

Given the following points: (-1, 4) (x, 5); and the slope (m = -1/2):

We can use the point-slope formula to find the equation of the line:

Let   = (-1, 4)

m = -1/2

Plug these values into the point-slope formula:

Add 4 on both sides:

The linear equation in slope-intercept form is:

Next, plug in the y-coordinate of the ordered pair, (x, 5) to solve for the missing x-cooridnate:

Subtract from both sides:

Divide both sides by to solve for x:

-3 = x

Therefore, the missing x-coordinate of the ordered pair, (x , 5) is 3.