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balu736 [363]
3 years ago
6

38. Which equation represents the data in the table?

Mathematics
2 answers:
sergejj [24]3 years ago
6 0

Answer:

C. y = 2x -4

Step-by-step explanation:

We can use the points (0, -4) and (2, 0).

y = mx + b (m is slope, b is y-intercept)

m = delta y / delta x

m = 4 / 2

m = 2

y = 2x + b

We can plug in (2, 0):

0 = 4 + b

b = -4

y = 2x - 4

bazaltina [42]3 years ago
3 0

Answer:

C. y = 2x - 4

Step-by-step explanation:

In this problem, you can use two equations. The equation for slope. y₂-y₁ ÷x₂-x₁ = rise÷run otherwise simplified to m. Next, you need the linear equation, y=mx+b. Where you can directly input the m from the equation for slope. You can use the two points (3,2) and (2,0). 2-0÷3-2 = 2÷1 or 2. 2=m. Putting 2 into the next equation (y=mx+b) you now have y=2x+b.

Next use a point like (2,0) and input the x and y into the equation. (0)=2(2)+b.

0=4+b

-4 -4

-4=b

The equation is now. y=2x-4.

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Solve y = -1/2x + 6 create an equation of a line parallel and perpendicular to this line that goes
SCORPION-xisa [38]

Answer:

y = -½x + 12; y = 2x + 2

Step-by-step explanation:

1. <em>Solve the equation </em>

y = -½x + 6

(a) Let x = 0

          y = -½(0) + 6

          y = 0 + 6

          y = 6

(b) Let y = 0

          0 = -½x + 6     Subtract 6 from each side

         -6 = -½x             Multiply each side by -2

          x = 12

The line passes through the points (0, 6) and (12, 0).

2. <em>Equation for parallel line </em>

The line passes through (4, 10).

 y = mx + b

m = -½

10 = -½(4) + b

10 = -2 + b     Add 1 to each side

b = 12

The equation for the parallel line is y = -½x + 12.

3. <em>Equation for perpendicular line </em>

(a). Find the <em>slope (m₁) of the original line </em>

The equation for the original line is

       y = -½x + 6

slope = m₁ = -½

(b). Find the<em> slope (m₂) of the perpendicular line </em>

m₂ = -1/m₁     Substitute the value of m₁

m₂ =   2

(c). Find the <em>equation for the perpendicular line </em>

y = mx + b     Substitute the value of m₂

y = 2x + b

The line passes through (4,10).  

10 = 2 × 4 + b

10 = 8 + b     Subtract 8 from each side

b = 2  

y = 2x + 2

In the image, below, the red line is the graph of your original equation.

The green line passing through (4, 10) is the parallel line.

The black line passing through (4, 10) is the perpendicular line.

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Read 2 more answers
6k ÷ 7 = -3<br> Solve for k
fomenos

Answer:

k = -3.5

Step-by-step explanation:

6k ÷ 7 = -3

Multiply 7 to both sides

6k = -21

Divide both sides by 6

6k/6 = -21/6

k = -3.5

To check if the answer is correct or not, you can always plug in -3.5 for k in the equation.

6(-3.5) ÷ 7 = -3

-21 ÷ 7 = -3

-3 = -3

-3 equals -3 so it is correct that k = -3.5

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