find three solutions of the equation y= -2x - 6
(-2,-10),(1,4),(2,-1) I think this one
(-2,-10),(1,-4),(0,6)
(0,-6),(3,-2),(-2,-10)
(1,-4),(0,-6),(-1,-9)
in a), b), and d) the first points don't work
leaving c)
in c) the 2nd point does not work
so none of triples have all 3 correct
ok thanks
To find solutions of the equation y = -2x - 6, we can substitute different values of x into the equation and calculate the corresponding values of y. Let's check the given options:
Option 1: (-2,-10), (1,4), (2,-1)
- For x = -2, y = -2(-2) - 6 = 4 - 6 = -2, which matches (-2,-10), so this is a valid solution.
- For x = 1, y = -2(1) - 6 = -2 - 6 = -8, which does not match (1,4), so this is not a valid solution.
- For x = 2, y = -2(2) - 6 = -4 - 6 = -10, which matches (2,-1), so this is a valid solution.
Option 2: (-2,-10), (1,-4), (0,6)
- For x = -2, y = -2(-2) - 6 = 4 - 6 = -2, which matches (-2,-10), so this is a valid solution.
- For x = 1, y = -2(1) - 6 = -2 - 6 = -8, which does not match (1,-4), so this is not a valid solution.
- For x = 0, y = -2(0) - 6 = 0 - 6 = -6, which matches (0,6), so this is a valid solution.
Option 3: (0,-6), (3,-2), (-2,-10)
- For x = 0, y = -2(0) - 6 = 0 - 6 = -6, which matches (0,-6), so this is a valid solution.
- For x = 3, y = -2(3) - 6 = -6 - 6 = -12, which does not match (3,-2), so this is not a valid solution.
- For x = -2, y = -2(-2) - 6 = 4 - 6 = -2, which does not match (-2,-10), so this is not a valid solution.
Option 4: (1,-4), (0,-6), (-1,-9)
- For x = 1, y = -2(1) - 6 = -2 - 6 = -8, which matches (1,-4), so this is a valid solution.
- For x = 0, y = -2(0) - 6 = 0 - 6 = -6, which matches (0,-6), so this is a valid solution.
- For x = -1, y = -2(-1) - 6 = 2 - 6 = -4, which does not match (-1,-9), so this is not a valid solution.
Based on the above analysis, the correct solutions are:
Option 1: (-2,-10), (2,-1)
Option 2: (-2,-10), (0,6)