Question

If the equation line s is y = x - 5 and line f includes the point (5, 1) and is parallel to line s, what is the equation of line f?

Select one:
O A. y=-x-4
O B.y=x+4
OC. y=1/2x-4
O D.y=x-4

Answer 1

The correct answer is option D.

Explanation:

Equation of line s : y = x - 5

Slope intercept form ( y = mx +c)

y = x - 5

Slope of line s , m = 1

Given that line f is parallel to line s, which means that slope of line f is same as that of the line s.

Slope of line f = Slope of line s = m = 1

Line f includes the point (5, 1). So the equation of line f can be determined by slope point form :

`(y-1)=1(x-5)`

`y-1=x-5`

`y=x-4`

The equation of line f :
`y=x-4`