A line with slope = 1/2 passes through the points (2, 5) and (x, 3). What is the value of x?
-1
1
-2
2
We can use the slope-intercept form of a linear equation to solve this problem. The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Given that the slope is 1/2, we can replace m with 1/2 in the equation and use the point-slope form to find the equation of the line passing through the points (2, 5) and (x, 3). The point-slope form of a linear equation is y - y1 = m(x - x1).
Using the first point (2, 5) as (x1, y1), we have:
y - 5 = (1/2)(x - 2)
Now, we can simplify the equation:
y - 5 = (1/2)x - 1
y = (1/2)x + 4
We want to find the x-value of the point (x, 3) that lies on this line. We can substitute y = 3 into the equation and solve for x:
3 = (1/2)x + 4
-1 = (1/2)x
-2 = x
So the value of x is -2. Therefore, the answer is -2.