Given:
Parallel line y = -5x + 6
Passes through the point (-4, -1)
To find:
The equation of the line passes through the point.
Solution:
Parallel line y = -5x + 6
Slope of this line = -5
If two lines are parallel then their slopes are equal.
Point-slope formula:
[tex]y-y_1=m(x-x_1)[/tex]
Here, [tex]x_1=-1, y_1=-4[/tex] and [tex]m=-5[/tex].
[tex]y-(-4)=-5(x-(-1))[/tex]
[tex]y+4=-5(x+1)[/tex]
[tex]y+4=-5x-5[/tex]
Subtract 4 on both sides.
[tex]y=-5x-5-4[/tex]
[tex]y=-5x-9[/tex]
The equation of the line is y = -5x - 9.
