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Equation 1 matches with number 9.

Equation 2 matches with number 7.

Equation 3 matches with number 1.

Equation 4 matches with number 3.

Equation 5 matches with number 5.

Step-by-step explanation:

Equation 1:  −9x > −9

−9x > −9

Divide both sides by −9.

-9x/-9 = -9/-9

Since −9 is negative, the inequality direction is changed.

x < 1

x < 1 matches with the graphed solution of number 9.

So, Equation 1 matches with number 9.

Equation 2: 2x + 6≥ −2

2x + 6≥ −2

Step 1: Subtract 6 from both sides

2x + 6 − 6 ≥ −2 − 6

2x ≥ −8

Step 2: Divide both sides by 2

2x/2 ≥ −8/2

Step 3: Simplify

x  ≥  -4

x  ≥  -4 matches with the graphed solution of number 7.

So, Equation 2 matches with number 7.

Equation 3: x − 9 < −5

x − 9 < −5

Step 1: Add 9 to both sides.

x − 9 + 9 < −5 + 9

Step 2: Simplify

x < 4

x < 4 matches with the graphed solution of number 1.

So, Equation 3 matches with number 1.

Equation 4: −6x < −12

−6x < −12

Divide both sides by -6

-6x/-6 < -12/-6

Since −6 is negative, the inequality direction is changed

x > 2

x > 2 matches with the graphed solution of number 3.

So, Equation 4 matches with number 3.

Equation 5: -7x + 20 > 55

-7x + 20 > 55

Step 1: Subtract 20 from both sides.

−7x + 20 − 20 > 55 − 20

Step 2: Simplify

−7x > 35

Step 3: Divide both sides by -7.

-7x/-7 > 35/-7

Step 4: Simplify

x < -5

Since −7 is negative, the inequality direction is changed

x < -5 matches with the graphed solution of number 5.

So, Equation 5 matches with number 5.

Hint: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠)

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4