Answer:
y = 2x + 19
Step-by-step explanation:
y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂
{Two lines are parallel if their slopes are equal}
y = 2x - 9 ⇒ m₁ = 2 ⇒ m₂ = 2
The point-slope form of the equation of a line: y - y₁ = m(x - x₁),
m is the slope and (x₁, y₁) is the point the line passes through.
m = 2
(-10, -1) ⇒ x₁ = -10, y₁ = -1
point-slope form:
y - (-1) = 2(x - (-10))
y + 1 = 2x + 20 {subtact 1 from both sides}
y = 2x + 19 ← slope-intercept form
