I need help on Find the slope of the line segment with endpoint G(1,3) and H(4,7) without graphing
1 answer:
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Answer:
5x - y = 27
Step-by-step explanation:
Slope is the direction of line and it is calculated as,
where (x₁, y₁) is any two points on the line.
Here, we have given that
Slope = 5 and (x₁, y₁) = (5, -2)
∴
⇒ 5(x - 5) = y + 2
⇒ 5x - 25 = y + 2
⇒ 5x - y = 27
Hence, the equation of a line is: 5x - y = 27
The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
<h3>How to find the factors of a quadratic expression?</h3>If the given quadratic expression is of the form
then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:
Then writing b in terms of alpha and beta would help us getting common factors out.
Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.
For this case, we're provided the expression:
We can write 10 as multiple of -5 and -2 and
we can write -7 as sum of -5 and -2. Thus, we get:
Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)
Learn more about factorization of quadratic expression here: