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lesya [120]
3 years ago
10

What is the equation of the graphed linear model? y = x +

Mathematics
1 answer:
timofeeve [1]3 years ago
7 0

Answer:

y = - 2x + 110

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 )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 110) and (x₂, y₂ ) = (20, 70) ← 2 points on the line

m = \frac{70-110}{20-0} = \frac{-40}{20} = - 2

the line crosses the y- axis at (0, 110) ⇒ c = 110

y = - 2x + 110 ← equation of line

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Answer:

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Step-by-step explanation:

Given that A, B, C, D, and E are collinear,

AE = 38,

BD = 15, since segment BC = CD = DE, therefore

BD = ⅔ of BE

15 = ⅔*BE (substitution)

Solve for BE

Multiply each side by 3

15*3 = ⅔*BE*3

45 = 2*BE

Divide both sides by 2

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AB + BE = AE (segment addition postulate)

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AB = 38 - 22.5 (Subtracting 22.5 from each side)

AB = 15.5

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30.5 = AD

AD = 30.5

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