As you can see in the picture, all the points lie on the same line, so they are collinear. The line follows an equation with the general form of:
y = mx + b
where m and b are the constants
The b parameter is the y-intercept. This is the point at which the line intersects the y-axis. From the graph, b = 0. The other constant is the slope m. You can choose any two points, the answer would just be the same.
m = (y₂ - y₁)/(x₂ - x₁)
Suppose point 1 is (2,1) and point 2 is (3,1.5).
m = (1.5 - 1)/(3 - 2) = 1/2 or 0.5
Therefore, the answer is either 0 or 0.5. From the choices, the answer would be letter C.
Answer:
Can you give me any more context?
Answer:
(0,5)
Step-by-step explanation:
Perpendicular lines have slopes which are negative reciprocals of each other. The slope of the line y=1/2x + 6 is 1/2. The slope perpendicular to it is -2.
Using m=-2, substitute it and (4,-3) into the point slope form and simplify to find the y-intercept.
The equation is now in slope intercept form y=mx+b and b is the y-intercept. The y-intercept of y=-2x+5 is (0,5).
Vertical asypmtotes are line of the form 
, where k is a point not in the domain of the function.
Since the definition of the cotangent function is
The function is not defined where the denominator is zero, i.e.
So, every line with equation 
is a vertical asymptote for the cotangent function. Some examples may be
Answer:
x=1
Step-by-step explanation:
Let's solve your equation step-by-step.
2x+2=3+1
Step 1: Simplify both sides of the equation.
2x+2=3+1
2x+2=(3+1)(Combine Like Terms)
2x+2=4
2x+2=4
Step 2: Subtract 2 from both sides.
2x+2−2=4−2
2x=2
Step 3: Divide both sides by 2.
2x2=22
x=1
