How to find the length of a line with distance formula

Practice Questions

Intermediate Geometry › How to find the length of a line with distance formula

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1

Find the distance of the line connecting the pair of points

and .

2

Find the length of $y = \frac{1}{4}x + 3$ on the interval $- 8 \leq x \leq 12$ .

3

Find the length of $\small y = -3x + 4$ for $\small 0 \leq x \leq 5$

4

Jose is walking from his house to the grocery store. He walks 120 feet north, then turns left to walk another 50 feet west. On the way back home, Jose finds a straight line shortcut back to his house. How long is this shortcut?

5

Find the length of a line with endpoints at and .

6

Find the length of $\small y = \frac{1}{5} x - 2$ for $\small -2 \leq x \leq 5$

7

Find the distance of the line connecting the pair of points

and .

8

Find the length of the line $\small y= \frac{1}{2}x - 6$ for $\small -1 \leq y \leq 8$

9

A line has endpoints at (8,4) and (5,10). How long is this line?

10

If we graph the equation what is the distance from the y-intercept to the x-intercept?

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