What Is the Equation for a Tangent Line Parallel to a Given Line?

[DespicableMe]

Homework Statement

What is the equation of the tangent line to the curve y = Sqrt( 2x - 1) where the tangent line is parallel to the line x - 3y = 16

The Attempt at a Solution

My teacher briefly mentioned to find the derivative of the given, and then plug it into the slope-y intercept formula? I got confused from there because he used y-y=m(x-x)

 

[Mark44]

Homework Statement

What is the equation of the tangent line to the curve y = Sqrt( 2x - 1) where the tangent line is parallel to the line x - 3y = 16

The Attempt at a Solution

My teacher briefly mentioned to find the derivative of the given, and then plug it into the slope-y intercept formula? I got confused from there because he used y-y=m(x-x)

The slope-intercept form is often written as y = mx + b.

The point-slope form is written as y - y₀ = m(x - x₀). This form is useful if you know a point (x₀, y₀) on the line, and the slope m of the line.