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The equation that matches the given points is g(x) = -1.4x + 7.6
The standard form of a linear equation is expressed as
- m is the slope of the line
- b is the y-intercept:
Using the coordinate points (3, 3.4), (4,2)
Substitute m = -1.4 and the coordinate (4, 2) into the formula:
Get the required equation:
Hence the equation that matches the given points is g(x) = -1.4x + 7.6
Learn more on equation of a line here; brainly.com/question/9351428
Answer:
The answer is below
Step-by-step explanation:
The standard form of the equation of an ellipse with major axis on the y axis is given as:
Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²
Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37
Also, the foci is at (0,5) and (0, -5), therefore c = 5
Using c² = a² - b²:
5² = a² - 37²
a² = 37² + 5² = 1369 + 25
a² = 1394
Therefore the equation of the ellipse is: