Answer:
y= -2x -5
Explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Parallel lines have the same slope.
Thus, to find the value of the slope of the line, we have to find the slope of the given line.
y= -2x -1
Since the coefficient of x is -2 and the equation is already in slope-intercept form, the slope of the given line is -2.
Substitute m= -2 into the equation:
y= -2x +c
To find the value of c, substitute a pair of coordinates.
When x= -2, y= -1,
-1= -2(-2) +c
-1= 4 +c
c= -1 -4 (-4 on both sides)
c= -5
Thus, the equation of the line is y= -2x -5.