The equation most closely models the line of best fit for the scatter plot is y = 2.5x
<h3>Equation of a line</h3>
A line is the distance between two points. The equation of a line in point-slope form is given as y =mx + b
- m is the slope
- b is the intercept
Using the coordinate points on the line (3, 5000) and (9, 20000)
Get the slope
Slope = 20000-5000/9-3
Slope = 15000/6 = 2500
Determine the y-intercept
5000 = 2500(3) + b
b = 5000 - 7500
b = -2500
Determine the equation
y = 2.5x - 2.5
Hence the equation most closely models the line of best fit for the scatter plot is y = 2.5x
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17x>102
Divide both sides by 17:
x>6
The answer is C, D, and F. We know it is C because x-2 you would put a positive 2 and that is what is done. We know it is D because if you look at the graph that's where it would touch. We know it is F because the last number below the line is 0.
The integers are -8 and -6.
To find these, first assume that the first integer is x. Then, because it is an even integer, assume the next is x + 2. Now we can write an equation to solve.
Tripling the greater = subtracting 10 from the lesser
3(x + 2) = x - 10 ----> Distribute the 3
3x + 6 = x - 10 ----> Subtract x from both sides
2x + 6 = -10 ----> Subtract 6 from both sides
2x = -16 ----> Divide both sides by 2
x = -8
Which is the first integer. We then can determine that the second one, which is two higher than the first, would be -6.