Question

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

Answer 1

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