Write the standard form of the equation of the line described

Question

 Through: (1,-1), parallel to y= 4/5x + 2

Answer 1

Using the point-slope form of a line,

 

y - y₁ = mx - mx₁

 

 

where:

m = slope

(x₁ , y₁) is the given point

 

 

We can get the standard form of a line

 

-mx + y = -mx₁ + y₁

 

 

You know parallel lines have the same slope.  So plug in the values into the formula to obtain

 

-(4/5)x + y = -(4/5)(1) - 1

 

-(4/5)x + y = -(4/5) - 1

 

 

Multiply both sides of the equation by -5.

 

4x - 5y = 4 + 5

 

4x - 5y = 9