Use the point slope form linear equation gien to complete pr

Use the point slope form linear equation gien to complete problems 5-18 (they\'re all linked please help me!)

y+4=-4(x-2)

9) Rewrite in standard form

11)what is the equation in standard form of a perpendicular line that passes through (5,1)

13) What is the equation in standard form of a parallel line that passes through (0,-2)

Solution

given y+4=-4(x-2)

9)expand

y+4=(-4*x)+(-4*-2)

y+4 =-4x+8

4x+y =8-4

4x+y=4 is standard form of equation

11)4x+y=4

y=-4x+4

slope of line =-4

slope of perpendicular line *slope of line =-1

slope of perpendicular line *(-4) =-1

slope of perpendicular line =-1/(-4)

slope of perpendicular line =1/4

equation of line with slope (1/4) and passing through (5,1) is y-1=(1/4)(x-5)

4(y-1)=x-5

4y-4=x-5

x-4y=5-4

x-4y=1 is standard form of perpendicular line

14)

4x+y=4

y=-4x+4

slope of line =-4

slope of pparallel line = slope of line =-4

equation of line with slope -4 and passing through (0,-2) is y-(-2)=(-4)(x-0)

y+2=-4x

4x+y=-2 is standard form of parallel line