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A line passes through the point (-10,-1) and is parallel to the line with equation y=2x-9

1 Answer

11 votes

Answer:

y = 2x + 19

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

User Oharlem
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