Answer:
y = - 2x - 1
Step-by-step explanation:
Assuming the line has equation y = - 2x + 3
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x + 3 ← is in slope- intercept form
with slope m = - 2
Parallel lines have equal slopes, thus
y = - 2x + c ← is the partial equation
Note the line passes through (0, - 1) ⇒ c = - 1
y = - 2x - 1 ← equation of parallel line
Parallel lines have the same slope
The equation of the line is: [tex]y = -2x -1[/tex]
The equation is given as:
[tex]y = -2x + 3[/tex]
The slope intercept equation of a line is:
[tex]y = mx + b[/tex]
Where
[tex]m \to[/tex] slope
By comparison
[tex]m = -2[/tex]
From the question, we understand that the line is parallel to [tex]y = -2x + 3[/tex]
This means that they have the same slope, [tex]m = -2[/tex]
The equation of the line is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
This gives
[tex]y = -2(x - 0) + -1[/tex]
[tex]y = -2(x) -1[/tex]
Open bracket
[tex]y = -2x -1[/tex]
Hence, the equation of the line is: [tex]y = -2x -1[/tex]
See attachment for the graph of both lines
Read more about equations of parallel lines at:
https://brainly.com/question/402319
