Question

hello i really need help on this please​

Answer 1

#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

Answer 2

Answer:

y = -5x + 3

y = 7x + 26

Step-by-step explanation:

Question 1

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

Question 2

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