Question

y=y = x+2Which statement about the lines is true?O A. The lines are the same.B. The lines are parallel.C. The lines are perpendicular.O D. The lines intersect but are not perpendicular.

Answer 1

The lines are perpendicular

Step-by-step explanation:

In an equation with the form:

y = mx + b

The number beside the x is the slope.

Then, two lines are the same if they have the same equation, two lines are parallel if they have the same slope and two lines are perpendicular if the multiplication of their slopes is -1.

So, the slope of the first equation is 2/3 and the slope of the second equation is -3/2, therefore, the multiplication of these slopes is equal to:

`(2)/(3)*(-3)/(2)=\frac{2*(-3)_{}}{3*2}=(-6)/(6)=-1`

Since the multiplication is equal to -1, the lines are perpendicular.