Question

Y = X - 8. y = -x +6* Parallel Perpendicular Neither

Answer 1

The equation of a line given in slope-intercept form is written as

`\begin{gathered} y=mx+b \\ \text{Where m is the slope. This means the coeeficient of x is the slope} \end{gathered}`

For two lines to be parallel, their slopes must equal to each other. Also for the two lines to be perpendicular, their slopes must be a negative inverse of each other. An example of negative inverse is given as;

`\begin{gathered} -(1)/(4)\text{ is a negative inverse of 4} \\ \text{Likewise, -4 is a negative inverse of }(1)/(4)\text{ } \end{gathered}`

The slope of the first line is 1, since the line is given as,

y = x - 8

(The coefficient of x is 1)

The slope of the second line is -1, since the line is given as,

y = -x + 8

(The coefficient of x is -1)

Therefore, since both slopes are not equal and not negative inverses of each other, then the correct answer is NEITHER.