Find the equation of the line connecting (0, 5) and (-2, 0).
As we go from the first point to the second, x decreases by 2 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/(-2), or 5/2.
Starting with the general equation of a line in slope-intercept form, y = mx + b, substitute the knowns as appropriate to determine the value of b:
y= mx + b => 5 = (5/2)(0) + b. Then b = 5, and the desired equation is
y = (5/2)x + 5.
Check this! If we subst. the coordinates of (-2,0) into this equation, is the equation true?
0 = (5/2)(-2) + 5
Yes. So, y = (5/2)x + 5 is the desired equation.
The answer would be B. 12
This is the standard form equation 
What is the ellipse?
The equation for an ellipse is typically written as x² a² + y² b² = 1. x² a² + y² b² = 1. An ellipse with its origin at the center is defined by this equation. The ellipse is stretched further in both the horizontal and vertical directions if a > b, a > b, and if b > a, b > a, respectively.
The standard form of the equation of an ellipse with center (h, k)and major axis parallel to the x-axis is:
where,
a > b
the length of the major axis is 2a
the coordinates of the vertices are (h±a,k)
the length of the minor axis is 2b
the coordinates of the co-vertices are (h,k±b)
the coordinates of the foci are (h±c,k),
where c² = a² − b².
so,
Hence, this is the standard form equation .
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Answer:
<em>Tiffany pays a total price of $9.81 for the basket of watermelons</em>
Step-by-step explanation:
<u>Percentages</u>
To increase a certain amount by a given percentage, we can first calculate the increasing amount and then add it to the original amount.
If the price of the basket of watermelons was $9 before tax, and the sales tax is 9%, we first calculate the tax amount to pay:
$9 * 9 / 100 = $0.81
Now we add it to $9 to get the total price paid by Tiffany:
Total price = $9 + $0.81 = $9.81
Tiffany pays a total price of $9.81 for the basket of watermelons
The equation is
Y=-3/1 +2
Y-Intercept at (0,2)
