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3 years ago

What is the distance from (−4, 0) to (2, 5)? Round your answer to the nearest hundredth. Explain your answer.

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

5 0

Answer:

A 7.81

Step-by-step explanation:

Use the distance formula to find the distance between coordinates.

$d = \sqrt{(2--4)^2 + (5-0)^2} \\d = \sqrt{(2+4)^2 + (5)^2} \\d = \sqrt{(6)^2 + (5)^2} \\d = \sqrt{36 + 25} \\d = \sqrt{61} \\d=7.81$

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Answer: $\textsf{y = x + 2}$

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Given: $\textsf{Slope = 1, Goes through (-1, 1)}$

Find: $\textsf{Determine the slope-intercept form of the equation}$

Solution: In order to determine the equation we need to first use the point-slope form which uses a slope and a point which can then be simplified and solve for y to get the slope-intercept form.

Plug in the values

$\textsf{y - y}_2\textsf{ = m(x - x}_1\textsf{)}$

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Therefore, the simplified equation in slope-intercept form would be y = x + 2

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