Question
The pair of points (6, y) and (10, - 1) on a line with slope 1/4 What is the value of y? 1 point ) 2 5
Answers
GPT 3.5
To find the value of y, we first need to find the equation of the line using the given information.
The slope of the line is 1/4, so we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
Let's use the point (6, y) as the point on the line:
y - y1 = (1/4)(x - x1)
Substituting in the values of (6, y):
y - y = (1/4)(6 - 10)
0 = (1/4)(-4)
0 = -1
This equation is not possible, so there is no value of y that satisfies the given conditions.
Therefore, the value of y is not defined.
The slope of the line is 1/4, so we can use the point-slope form of the equation of a line:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line and m is the slope.
Let's use the point (6, y) as the point on the line:
y - y1 = (1/4)(x - x1)
Substituting in the values of (6, y):
y - y = (1/4)(6 - 10)
0 = (1/4)(-4)
0 = -1
This equation is not possible, so there is no value of y that satisfies the given conditions.
Therefore, the value of y is not defined.