Please find the attachment for a better understanding of the explanation to this question.
As we can see from the diagram attached, the X axis represented by XX' and the Y axis represented by YY' intersect each other at the origin represented by O. Further, we notice that this intersection is at the angle 90 degrees or in other words the intersection is perpendicular. Thus, we have seen that the the x and y axes in the xy plane intersect perpendicularly. And hence, the answer is TRUE.
Please note that this is always the case and this is also known as orthogonality.
Answer:
y = 2x-5
Step-by-step explanation:
y = 2x+2
We know the slope of this line is 2 because it is in the form y =mx +b where m is the slope
We want a parallel line so it has the same slope
We can use the point slope form of the equation
y-y1 = m(x-x1)
y--1 = 2(x-2)
y+1 = 2(x-2)
Distribute
y+1 = 2x-4
Subtract 1 from each side
y+1-1 = 2x-4-1
y = 2x-5
This is in slope intercept form
I'm guessing it is 18. 18 decreased by nine equals nine so to me it makes sense.