136k views
1 vote
Write equation of a line
Parallel to y=2x+3 and passes through point (-2,-1)

User Rogach
by
5.7k points

1 Answer

3 votes

Answer:

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

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

User Toubi
by
6.1k points