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Rzqust [24]
2 years ago
12

Hello i really need help on this please​

Mathematics
2 answers:
bearhunter [10]2 years ago
7 0

#1

Equation in point slope form

  • y-y1=m(x-x_1)
  • y+22=-5(x-5)
  • y+22=-5x+25
  • y=-5x+3

#2

Slope

  • m=5+2/-3+4
  • m=7/1
  • m=7

Equation in point slope form

  • y+2=7(x+4)
  • y+2=7x+28
  • y=7x+26
Elza [17]2 years ago
3 0

Answer:

y = -5x + 3

y = 7x + 26

Step-by-step explanation:

<u>Question 1</u>

Given:

  • Slope (m) = -5
  • Point (x₁, y₁) = (5, -22)

Substitute these values into the point-slope formula: y - y₁ = m(x - x₁)

⇒ y - (-22) = -5(x - 5)

⇒ y + 22 = -5x + 25

⇒ y = -5x + 3

<u>Question 2</u>

Given:

  • Point (-4, -2) ⇒ (x₁, y₁)
  • Point (-3, 5) ⇒ (x₂, y₂)

Use the slope formula to find the slope:

\sf \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-(-2)}{-2-(-4)}=7

Substitute these values into the point-slope formula: y - y₁ = m(x - x₁)

⇒ y - (-2) = 7(x - (-4))

⇒ y + 2 = 7(x + 4)

⇒ y + 2 = 7x + 28

⇒ y = 7x + 26

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