Well the equation of this line is
. Which means that for any value of y the x will always equal to 3/5, so the points (ordered pairs) for eg. are
.
Hope this helps.
Answer:
Perpendicular
Step-by-step explanation:
Given points P=(2,6) and Q=(4,5)
The line RS is y=2x-3.
Now we know that the line joining any two points (x1,y1) and (x2,y2) has slope m=
Now the slope of the line PQ is
m1=
= -
We know that the slope of the line in the form y=mx+c is m
So the line RS has slope m2=2
Now two lines are parallel if m1=m2
And those two lines are perpendicular if 
here m1= -
and m2=2
clearly 
Therefore the two given lines are perpendicular
Answer:
Option B. 
Step-by-step explanation:
we know that
If a ordered pair lie on the circle. then the ordered pair must satisfy the equation of the circle
step 1
Find the equation of the circle
we know that
The equation of the circle in center radius form is equal to

where
r is the radius of the circle
(h,k) is the center of the circle
substitute the values


step 2
Verify each case
case A) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair Q not lie on the circle
case B) 
substitute the value of
in the equation of the circle and then compare the results

------> is true
therefore
the ordered pair R lie on the circle
case C) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair S not lie on the circle
case D) 
substitute the value of
in the equation of the circle and then compare the results

------> is not true
therefore
the ordered pair T not lie on the circle
Answer:

Step-by-step explanation:
Given;
x² - 2x - 1 = 0
Solve by completing the square method;
⇒ take the constant to the right hand side of the equation.
x² - 2x = 1
⇒ take half of coefficient of x = ¹/₂ x -2 = -1
⇒ square half of coefficient of x and add it to the both sides of the equation


⇒ take the square root of both sides;

Therefore, option B is the right solution.