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Part 1: Write the equation of the graphed line in slope intercept (y= mx + b).

Part 1: Write the equation of the graphed line in slope intercept (y= mx + b).-example-1

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2 votes

Answer:

1. y = 2x - 5

2. y = (-1/3)x

3. y = -4

4. y = (-3/4)x + 7

5. x = 6

6. y = -3x - 8

Explanation:

1.

Point 1: (0, -5) Point 2: (-1, -7)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ -7 - (-5) -7 + 5 -2

m = ------------ = ----------- = ---------- = ------ = 2

x₂ - x₁ -1 - 0 -1 -1

y - y₁ = m (x - x₁)

y - (-5) = 2(x - 0)

y + 5 = 2x - 0

-5 -5

y = 2x - 5

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2.

Point 1: (0, 0) Point 2: (3, -1)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ -1 - 0 -1

m = ------------ = ----------- = ----------

x₂ - x₁ 3 - 0 3

y - y₁ = m (x - x₁)

y - (0) = (-1/3)(x - 0)

y - 0 = (-1/3)x - 0

-0 -0

y = (-1/3)x

----------------------------------------------------------------------------------------------------------

3.

Point 1: (0, -4) Point 2: (-5, -4)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ -4 - (-4) -4 + 4 0

m = ------------ = ----------- = ---------- = ------ = 0

x₂ - x₁ -5 - 0 -5 -5

y = -4

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4.

Point 1: (0, 7) Point 2: (4, 4)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 4 - 7 -3

m = ------------ = ----------- = ----------

x₂ - x₁ 4 - 0 4

y - y₁ = m (x - x₁)

y - 7 = (-3/4)(x - 0)

y - 7 = (-3/4)x - 0

+7 +7

y = (-3/4)x + 7

----------------------------------------------------------------------------------------------------------

5.

Point 1: (6, 0) Point 2: (6, 3)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 3 - 0 3

m = ------------ = ----------- = ---------- = undefined

x₂ - x₁ 6 - 6 0

x = 6

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6.

Point 1: (0, -8) Point 2: (-4, 4)

(x₁, y₁) (x₂, y₂)

y₂ - y₁ 4 - (-8) 4 + 8 12

m = ------------ = ----------- = ---------- = ------ = -3

x₂ - x₁ -4 - 0 -4 -4

y - y₁ = m (x - x₁)

y - (-8) = -3(x - 0)

y + 8 = -3x - 0

-8 -8

y = -3x - 8

I hope this helps!

User Augusto Destrero
by
8.7k points

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