The y-intercept is 2 because the line intercepts the y-axis at 2. The slope is negative because it is going down from the top left to the bottom right. The slope is -1 because the change in y over change in x results in 1 and it is negative. The equation for the line is y = -x + 2

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5 0

3 years ago

Need help ASAP, please.

mamaluj [8]

Answer:

n = 3
(1, 1/6), (-2, 7/6), (5, -7/6)
2x + 6y = 3

Step-by-step explanation:

A graphing program can help a lot in this case. Even without the program, it seems clear from a graph that only the first three points will lie on the same line.

The slope of the line can be found from the first two points as ...

∆y/∆x = (7/6 -1/6)/(-2 -1) = (6/6)/-3 = -1/3

Then the point-slope form of the equation can be written as

y -1/6 = -1/3(x -1)

Multiplying by 6 gives ...

6y -1 = -2x +2

Adding 2x+1 puts the equation into standard form:

2x + 6y = 3

7 0

4 years ago