Question

Write an equation for the line parallel to the given line that contains C. C(1,4); y = 1/8x-4 (Write in slope intercept form)

Answer 1

he equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0

slope intercept form

`y = (x)/(8) + (31)/(8)`

Step-by-step explanation:

Step-by-step explanation:-

Given equation of the line

y = 1/8x-4

8 y = x - 32

x - 8 y -32=0

The equation of the line is parallel to the given line a x + b y + k=0

x - 8 y + k=0

This line is passing through the point ( 1,4)

x - 8 y + k=0

1 - 32 + k =0

k = 31

The equation of the line is parallel to the given line and passing through the point C( 1,4) is x - 8 y + 31=0

slope intercept form

8 y = x + 31

`y = (x)/(8) + (31)/(8)`