Question

A line has a slope of -1 and contains the points (1, 2) and (2, y). The value of y is

01
03
0
-1

Answer 1

The value of y is 1 for the point (2, y) on the line with a slope of -1 containing the points (1, 2) and (2, y), since the y-coordinate decreases by 1 with every unit increase in the x-coordinate.

Step-by-step explanation:

To determine the value of y for a line that contains the points (1, 2) and (2, y) with a slope of -1, we can use the concept of slope, which is the ratio of the rise to the run between any two points on a line. In this case, since the slope is -1, for every increase of 1 on the x-axis, there is a decrease of 1 on the y-axis. Starting from point (1, 2), if we increase the x-coordinate by 1 to get to x=2, we must decrease the y-coordinate by 1 to maintain the slope of -1. Therefore, the value of y at x=2 would be 2 - 1 = 1.

Answer 2

`1 = y`

Step-by-step explanation:

Define the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

`-(2 + y)/(-1 + 2) = (?)/(1) = -1 \\ \\ -(2 + 1)/(-1 + 2) = (-1)/(1) = -1`

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