Question
A line with slope =one over twopasses through the points (2, 5) and (x, 3). What is the value of x?
(1 point)
Responses
–1
–1
1
1
–2
–2
2
(1 point)
Responses
–1
–1
1
1
–2
–2
2
Answers
GPT 3.5
We can use the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 1/2.
Using the point (2, 5), we can substitute these values into the equation to solve for b:
5 = (1/2)(2) + b
5 = 1 + b
b = 4
So the equation of the line is y = (1/2)x + 4.
To find the value of x when y = 3, we can substitute 3 for y in the equation:
3 = (1/2)x + 4
-1 = (1/2)x
x = -2
Therefore, the value of x is -2.
Using the point (2, 5), we can substitute these values into the equation to solve for b:
5 = (1/2)(2) + b
5 = 1 + b
b = 4
So the equation of the line is y = (1/2)x + 4.
To find the value of x when y = 3, we can substitute 3 for y in the equation:
3 = (1/2)x + 4
-1 = (1/2)x
x = -2
Therefore, the value of x is -2.