The equation of line parallel to y=-4x+5 is y = -4x-9
Further explanation:
Given equation of line is:
y = -4x+5
Comparing it with the standard form of equation
[tex]y=mx+b\\Then\\m = -4[/tex]
As the slopes of parallel lines is equal, the slope of the line parallel to given line will be same. Putting the value of slope in standard equation.
[tex]y = mx +b\\y = -4x +b[/tex]
To find the value of b, the given point will be put in the equation
[tex]-1 = -4x -2\\-1 = -4(-2) +b\\-1 = 8 +b\\-1 -8 = b\\-9 = b[/tex]
Putting the values of b and m in standard form
[tex]y = -4x -9[/tex]
So, the equation of line parallel to y=-4x+5 is y = -4x-9
Keywords: Slope, Equations of lines, Point-slope equation of line
Learn more about point-slope form at:
- brainly.com/question/4192226
- brainly.com/question/5223123
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