Write an equation for a line parallel to y= -4x + 3 and passes through the point (-5, -1). Show your work.

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

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4