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maksim [4K]
2 years ago
9

Dennis drew the line of best fit on the scatter plot shown below:

Mathematics
1 answer:
matrenka [14]2 years ago
8 0

Answer:

4th option

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (2, 12) and (x₂, y₂ ) = (6, 6) ← 2 points on the line

m = \frac{6-12}{6-2} = \frac{-6}{4} = - \frac{3}{2}

the line crosses the y- axis at (0, 15 ) ⇒ c = 15

y = - \frac{3}{2} x + 15 ← approximate equation of line of best fit

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====================================================

Explanation:

Part A

By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.

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y coord = (y1+y2)/2 = (-1+(-4))/2 = -5/2

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