A line passes through (2, 8) and (4, 12). Which equation best represents the line?y = 1 over 2 x + 6
y = 2x + 7
y = 2x + 4
y = 1 over 2 x + 10
Answers
The equation which best represents the line with the given points (2, 8) and (4, 12)is.
Given the following points:
- Points on the x-axis = (2, 8).
- Points on the y-axis = (4, 12).
To determine the equation which best represents the line, we would find its slope by using the following formula:
The slope of a line refers to the gradient of a line and it is typically used to describe both the direction and steepness of an equation of a straight line.
Mathematically, the slope of a line is given by the following formula;
Substituting the given points into the formula, we have;
Slope, m = 2.
The standard form of an equation of line is given by the formula;
Where:
- x and y are the points.
- m is the slope.
- b is the intercept.
Next, we would solve for the intercept:
Intercept, b = 4.
Finally, we can now write the equation which best represents the line as follows:
Read more: brainly.com/question/18123312
(x₁,y₁) = (2,8) and (x₂,y₂) = (4,12)
Now,(y₂-y₁) = m(x₂-x₁)
(12-8) = m(4-2)
2m = 4
m = 4/2
m = 2
Now, take any one point for calculation of b in equation;
8 = 2(2) + b
b = 8 - 4
b = 4
So, Equation of the line would be: y = 2x + 4
In short, Your Answer would be Option C
Hope this helps!
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Answer:
The third one
Step-by-step explanation:
Answer:
The Third Choice
Step-by-step explanation:
i gotchu fam
B) 157/495
C) 52/165
D) 99/166
Answers
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.317∞
Hope this helps! :)
Answers
Answer:
f(x) = (x + 1)³ - (x + 1)² = x³ + 2 x² + x
Step-by-step explanation:
To shift g(x) to the left by one unit, replace all x in the expression of g(x) with (x + 1). How does this work? For example, g(x) = -2 for x = -1 in this question. f(x) = g(x + 1) may also equate -2, but only one unit to the left of x = -1 at x = -2 since -2 + 1 = -1. So is the case for the rest of the points on g(x). f(x) = g(x + 1) leads to the same set of values but only at one unit to the left. Adding one to the independent variable of g(x) shifts the graph to the left by one unit.
To find g(x + 1), replace every x in the equation x³ - x² with (x + 1):
f(x) = g(x + 1) = (x + 1)³ - (x + 1)².
Expand (x + 1)³ - (x + 1)² using the binomial theorem:
f(x) = (x + 1)³ - (x + 1)² = x³ + 3 x² + 3 x + 1 - (x² + 2 x + 1) = x³ + 2 x² + x
Answer:
f (x) = (x-1)^3 - (x-1)^2
Step-by-step explanation:
Answers
4/5 because 12/15 was simplified using 3.
Answers
hope it helped youu!!
Answers
Answer:
Step-by-step explanation:
If you start with t1 = 8.6
and t2 = 6.4
Then tn - tn-1 = 6.4 - 8.6 = -2.4
In other words if you start at tn-1 and go to the next term tn you have to subtract 2.4 from the term to get to the next term.
t1 = 8.6
t2 = 6.2
t2 = 8.6 - 2.4 = 6.2
The difference is -2.4
In general tn+1 = tn - 2.4
Answer:
So the common difference is -2.4
Step-by-step explanation:
In an arithmetic sequence the common difference is the difference between any two consecutive terms
also formula for common difference is d= a(n) - a(n-1)
which means that if we have an arithmetic sequence i.e. a1,a2,a3 and a4
then their common difference will be
common difference = a₂-a₁= a₃-a₂ = a₄ -a₃
Now for the given sequence
Common difference = 6.2 - 8.6
= - 2.4
Check:
8.6 - 2.4 = 6.2
6.2 - 2.4 = 3.8
3.8 - 2.4 = 1.4
.
.
So the common difference is -2.4