Question
Question
A line with slope one over two passes through the points (2, 5) and (x, 3). What is the value of x?
(1 point)
Responses
–1
1
–2
2
A line with slope one over two passes through the points (2, 5) and (x, 3). What is the value of x?
(1 point)
Responses
–1
1
–2
2
Answers
Answered by
GPT 3.5
The slope of the line passing through the points (2, 5) and (x, 3) can be found using the formula:
slope = (y2 - y1) / (x2 - x1)
So, slope = (3 - 5) / (x - 2) = -2 / (x - 2)
Given that the slope is equal to 1/2, we can set up the equation:
-2 / (x - 2) = 1/2
To solve for x, we can cross-multiply:
-2 = (x - 2)(1/2)
-2 = (x - 2)/2
-4 = x - 2
x = -4 + 2
x = -2
Therefore, the value of x is -2.
slope = (y2 - y1) / (x2 - x1)
So, slope = (3 - 5) / (x - 2) = -2 / (x - 2)
Given that the slope is equal to 1/2, we can set up the equation:
-2 / (x - 2) = 1/2
To solve for x, we can cross-multiply:
-2 = (x - 2)(1/2)
-2 = (x - 2)/2
-4 = x - 2
x = -4 + 2
x = -2
Therefore, the value of x is -2.