What is the y-intercept of the line given by the equation y= 3x + 4?
2 answers:
First, notice that this equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier, m, or the coefficient of the ex term represents the slope of the line and the <em>b</em> or the constant term represents the y-intercept of the line.
I have attached slope-intercept form below.
Notice that below, the <em>b</em> is in place of the <em>4</em> in the equation.
So the y-intercept or the <em>b</em> is 4.
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The value of k is
Given:
x-y=k.............(eq i)
2x²+y²-15..............(eq ii)
We would make y the subject formula in eq ii
2x²+y²-15= 0
2x² + y²= 15
y²= 15-2x²
y= ...........(eq iii)
Substitute the value of y into eq i
x-(= k
x- (= k
k=
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All integers where n ≥ 1.
We have given that the sequence,
We have to find the domain for n.
<h3>What is the meaning of arithmetic sequence?</h3>Arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. Difference here means the second minus the first.
That is,
where a = first term of sequence.
d =common difference.
n =number of terms which belongs to natural numbers
By the definition of arithmetic sequence n starts with 1
Remember that,the natural number starts with 1
Now, in given sequence for nth term
The domain for n is All integers where n ≥ 1.
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