1 The pair of points (6, y) and (10, -1) lie on a line with slope. What is the value of y?
(1 point)
-5
-2
2
5
To find the slope of the line, we can use the formula:
slope = (change in y-coordinate) / (change in x-coordinate)
Using the given points (6, y) and (10, -1), we can find the slope as follows:
slope = (-1 - y) / (10 - 6)
= (-1 - y) / 4
Since the line has a specific slope, the numerator (-1 - y) must be some constant multiple of 4. One such multiple could be -4.
Thus, -1 - y = -4.
Solving for y, we find:
y = -1 + 4
= 3
Therefore, the value of y is 3.