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sashaice [31]
3 years ago
14

Given the equations determine if the lines are parallel, perpendicular or neither.

Mathematics
1 answer:
artcher [175]3 years ago
5 0

Answer:

perpendicular; their slopes are opposite reciprocals

Step-by-step explanation:

y = (2/3)x + 8

rewrite the first equation to be in point-slope form

3x + 2y = 7

2y = -3x + 7

y = (-3/2)x + (7/2)

their slopes are (2/3) and (-3/2) -- opposite reciprocals

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The coordinates of the image of triangle are transformation are X = (1,3), Y = (5,-3) and Z = (-1, -7)

<h3>How to determine the transformation?</h3>

From the figure, the coordinates of the triangle are:

A = (-1, -1)

B = (1, 2)

C = (-2,4)

The transformation rule is given as:

\triangle XYZ = T_{ < 3,1 > }(R_{x-axis}(D_2(\triangle ABC)))

This means that, we start by dilating the triangle by a scale factor of 2.

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Next, we rotate the triangle across the x-axis

So, we have:

A'' = (-2, 2)

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Lastly, we translate the triangle by (x + 3,y + 1) to get the triangle XYZ

So, we have:

X = (1,3)

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See attachment for the image of the transformation

Read more about transformation at:

brainly.com/question/4289712

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