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Artist 52 [7]
2 years ago
14

HELPPP FOR BRAINLEST PLEASE

Mathematics
1 answer:
lubasha [3.4K]2 years ago
3 0

Answer:

y = -5x + 6

Step-by-step explanation:

To find the slope of a line you have to use the following formula:

y2 - y1 / x2 - x1

choose any 2 rows for "x" and "y" (it doesn't matter), but "x" and "y" have to come from the same row. (I'll do the third and fourth rows)

x1 = 1

y1 = 1

x2 = 2

y2 = -4

(-4 - 1) / (2 - 1)

-5 / 1

slope (m) = -5

the equation of a line is y = mx + b

m = slope

b = y-intercept

pick any row to plug "x" and "y" into the equation so you can find "b" (I'll choose row three); you already know the slope (m)

1 = -5(1) + b

1 = -5 + b

b = 1 + 5

b = 6

plug everything in to the equation y = mx + b

equation: y = -5x + 6

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==================================================

Explanation:

Draw a number line. You'll have 0 in the center, with positive values on the right. The positive values increase 1,2,3,4,... as you move from left to right.

The negative values will go in the opposite direction. When going from right to left, we have -1, -2, -3, -4, ...

See the diagram below.

Now plot an open hole at -7 on the number line. The open hole says that we exclude this value from the solution set. Then we shade everything to the left of the open circle. This visually describes all values smaller than -7. Something like -2 is not to the left of -7, meaning -2 < -7 is false. But a value like -10 is to the left of -7, making -10 < -7 true.

With that in mind, the answer is n = -11 since -11 is to the left of -7. Of the values in the answer choices, it's the only thing to the left of -7.

The value n = -7 cannot be the solution because n < -7 would become -7 < -7 which is false.

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