Question

Which statement is true about the graphs of the two lines y=-x+2 and y=-x- ?

Answer 1

Answer:

The correct option is Option C

Step-by-step explanation:

We are given the lines: $y=-\frac{4}{5}x+2 \ and \ \ y=-\frac{5}{4}x-\frac{1}{2}$

The lines are perpendicular if they have opposite slopes i,e $m_1=-\frac{1}{m_2}$

In line 1 the slope is $-\frac{4}{5}$ (Comparing with slope-intercept form $y=mx+b$ we get the value of m=-4/5)

In line 2 the slope is $-\frac{5}{4}$ (Comparing with slope-intercept form $y=mx+b$ we get the value of m=-5/4)

The opposite reciprocal of -4/5 is 5/4  

So, the lines are not perpendicular as their slopes are not opposite reciprocal of each other.

If the lines are parallel there slope must be same. Hence lines are not parallel as well.

So, The correct option is Option C