Write the standard form of the equation of the line described

Question

Through: (4,-3), parrallel to y=-1/4x + 3

Answer 1

If parallel, it has the same slope as the given line.

 

m = -1/4

 

In point-slope form,

 

y + 3 = (-1/4)(x - 4)

 

y + 3 = -x/4 + 1

 

x/4 + y = -2

 

Multiply through by 4 to put in standard form.

 

x + 4y = -8 

x + 4y + 8 = 0