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