Answer:
y = -4x -21
Step-by-step explanation:
Given expression:
y= -4x + 3
Coordinates = (-5, -1)
Unknown:
The equation of the line parallel to the given one = ?
Solution:
A line parallel to another will have the same slope as it is.
A line is expressed in the slope intercept form as:
y = mx + c
y and x are the coordinates
m is the slope
c is the intercept
y= -4x + 3
The slope of this line is -4
A line parallel will have a slope of -4;
For the new line, we still need to find its y-intercept;
where x = -5 and y = -1
-1 = -4(-5) + c
-1 = 20 + c
c = -1 - 20
c = -21
Now, the equation of the line is ;
y = -4x -21
