Graph a line with a slope of 2/5 that contains the ping (-2,4)

1 answer:

4 0

Hello there! A point that would verify the slope to be 2/5 would be (0, 9).

Given the point (-2,4) and the slope 2/5, we can follow the slope formula of rise/run, where 2 is our rise (y) and 5 is our run (x). Moving up two points on the y-axis will give us our rise, 0, because -2 + 2 = 0. Moving to the right 5 units from 4 on the x-axis will give us our run, 9, because 5 + 4 = 9.

Your final answer: One of the points on the graphed line will be (0,9). When progressing two points up and 5 points to the right, we will obtain more points. Hope this helps!

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The size of a television screen is measured by the length of thee diagonal of the screen. What size is a television screen that

Murljashka [212]

Answer:

approximately 6.708 feet

Step-by-step explanation:

We use the Pythagorean theorem to solve the problem, using 3 feet and 6 feet as the legs of a right angle triangle. The diagonal of the screen is therefore the "hypotenuse" of this right angle triangle, and can be determined via the formula:

$diagonal = \sqrt{(3\,ft)^2+(6\,ft)^2} \\diagonal = \sqrt{9\,ft^2+36\,ft^2} \\diagonal = \sqrt{45} \,ft\\diagonal = 3\,\sqrt{5} \,ft$