Write equation of a line
Parallel to y=2x+3 and passes through point (-2,-1)

The answer to your question is  y = 2x + 1

Step-by-step explanation:

Data

line  y = 2x + 3

point  (-2, -1)

line parallel = ?

Process

1.- Find the slope of the original line.

The slope is the coefficient of the x, then the slope is 2

         y = 2x + 3

2.- Find the equation of the parallel line using the point slope equation

        y - y1 = m(x - x1)

-Substitution

       y + 1 = 2(x + 2)

-Simplification

       y + 1 = 2x + 2

       y = 2x + 2 - 1

-Result

       y = 2x + 1

the answer is d

step-by-step explanation:

y+3=-4(x-2)

y+3=-4x+8

  -3         -3  

y=-4x+5