What is the equation of this line of best fit in slope intercept form
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Answer 1

Option B:

Equation of the line of best fit in slope-intercept form is y=(1)/(2)x+1.


Take two points on the line (0, 1) and (4, 3).

So, x_1=0, y_1=1, x_2=4, y_2=3.

Slope of the line:





y-intercept means the point which crosses at y-axis.

Here the point on the y-axis is (0, 1).

y-intercept (b) = 1

Slope-intercept form:

y = mx + b


Equation of the line of best fit in slope-intercept form is y=(1)/(2)x+1.

Option B is the correct answer.

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I = P x r x t

P is the principal amount, $420.00.

r is the interest rate, 3.5% per year

t is the time involved, 5 years

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The given quadratic expression is

3 {x}^(2)  + 8x =  - 1

Divide through by 3

{x}^(2)  +  (8)/(3) x =  -  (1)/(3)

We now add the square of half the coefficient of x because the coefficient of the quadratic term is now unity.

The constant we would add is

{( (4)/(3) )}^(2)  =  (16)/(9)

The correct answer is D

Answer: Option D.

Step-by-step explanation:

Given the quadratic equation 3x^2+8x=-1, you can observe that the leading coefficient is not 1, then you have to divide both sides of the equation by 3:


Now, you can observe that the coefficient of the x-term is (3)/(8), so you must divide it by 2 and square it. Then you get:


Therefore, you must add (16)/(9) to both sides of the equation.

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