Using the image prove its shape.

Mathematics

1 answer:

Vladimir79 [104]2 years ago

5 0

The shape is a parallelogram because the length of the sides based on the coordinates

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How do you do this!?!

Andrei [34K]

11x + y = 4

x | y

0 | 4

$\frac{4}{11}$ | 0

plot the y-intercept (0, 4) and the x-intercept ( $\frac{4}{11}$ , 0)

11x + y = 4

-11x -11x

y = -11x + 4 ⇒ m = $\frac{-11}{1}$ , b = 4

plot at point the y-intercept "b = 4" (0,4). plot the next point using the slope "m = $\frac{-11}{1}$ " from point (0,4), count down 11 and to the right 1 (1,-7).

Using intercepts would not provide an accurate graph because you have to estimte where ( $\frac{4}{11}$ , 0) is, so it is best to use slope-intercept form.

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x + y = -2

x | y

0 | -2

-2 | 0

plot the y-intercept (0, -2) and the x-intercept (-2, 0)

x + y = -2

-x -x

y = -x - 2 ⇒ m = $\frac{-1}{1}$ , b = -2

plot at point the y-intercept "b = -2" (0,-2). plot the next point using the slope "m = $\frac{-1}{1}$ " from point (0,-2), count down 1 and to the right 1 (1,-3).

Both methods are easy to use so either can be used.

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x - 2y = 18

x | y

0 | -9

18 | 0

plot the y-intercept (0, -9) and the x-intercept (18, 0)

x - 2y = 18

-x -x

-2y = -x + 18

$\frac{-2y}{-2} = \frac{-1}{-2}x + \frac{18}{-9}$

y = $\frac{1}{2}x$ - 9

plot at point the y-intercept "b = -9" (0,-9). plot the next point using the slope "m = $\frac{1}{2}$ " from point (0,-9), count up 1 and to the right 2 (2,-8).