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kirza4 [7]
3 years ago
7

A line passes through (-1,7) and (2,10) which answer is the equation of the line

Mathematics
1 answer:
alekssr [168]3 years ago
5 0

Answer: -x + y = 8

Step-by-step explanation:

So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.

Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.

Lets plug in (2,10)

10 = 2 + b

10 - 2 = b

b = 8

So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.

-x + y = 8

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The length of side walk is 500 feet

<em><u>Solution:</u></em>

Given that, A rectangle park measures 300 ft by 400 ft

Length = 300 feet

Width = 400 feet

A sidewalk runs diagonally from one comer to the opposite corner

We have to find the length of side walk

Which means, we have to find the length of diagonal of rectangle

<em><u>The diagonal of rectangle is given by formula:</u></em>

d = \sqrt{w^2+l^2}

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d is the length of diagonal

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