Question
The pair of points (6, y) and (10, –1) lie on a line with slope one-fourth. What is the value of y?
(1 point)
Responses
–5
–5
–2
–2
2
2
5
(1 point)
Responses
–5
–5
–2
–2
2
2
5
Answers
GPT 3.5
To find the value of y, we can use the formula for finding the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the slope is given as one-fourth and the points are (6, y) and (10, -1).
So, substituting the values into the formula:
1/4 = (-1 - y) / (10 - 6)
Multiplying both sides by (10 - 6) gives:
1 = (-1 - y) / 4
Multiplying both sides by 4 gives:
4 = -1 - y
Subtracting 1 from both sides gives:
y = -5
Therefore, the value of y is -5.
slope = (y₂ - y₁) / (x₂ - x₁)
In this case, the slope is given as one-fourth and the points are (6, y) and (10, -1).
So, substituting the values into the formula:
1/4 = (-1 - y) / (10 - 6)
Multiplying both sides by (10 - 6) gives:
1 = (-1 - y) / 4
Multiplying both sides by 4 gives:
4 = -1 - y
Subtracting 1 from both sides gives:
y = -5
Therefore, the value of y is -5.