Write an equation in slope intercept form with the slope as 1/3 and the point (-3,4)

Mathematics

1 answer:

Georgia [21]3 years ago

6 0

Answer:

$y = \frac{1}{3}x + 5$

Step-by-step explanation:

Slope (m) = 1/3

(-3 , 4)

y - y1 = m(x -x1)

y - 4 = (1/3) (x - [-3])

$y - 4 = \frac{1}{3}(x + 3)\\\\y - 4 = \frac{1}{3}x + \frac{1}{3}*3\\\\y - 4 = \frac{1}{3}x + 1\\\\ y = \frac{1}{3}x + 1 + 4\\\\ y = \frac{1}{3}x + 5$

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Find x, y, and z. Multiple choice answers are below!

labwork [276]

Answer:

The correct answer is B. x ≈ 4.5, y = 5, z = 9

Step-by-step explanation:

1. We will use the Pythagorean theorem for solving for x, this way:

x² = 6² - 4²

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2. For solving for y, we will do it this way:

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If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.

Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9

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3 years ago

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ankoles [38]

Answer:

$lower \: quartile = \frac{1}{4} \times 8 \\ = {2}^{nd} \\ = 3$