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3 years ago

Which of the following is the correct algebraic representation for a translation 8 units right and 4 units down?

2 answers:

7 0

The correct answer is A. (x + 8, y - 4)

This is the correct answer because when going right on the x axis, means that you are adding or that it is positive. When going left on the x axis, means you are subtracting, or it is negative.

On the y axis, when going up, you are adding or it is positive. So when you are going down, means you are subtracting or it is negative.

I hope that this helps.

natta225 [31]3 years ago

4 0

A. (X + 8, y - 4) hope this helps pls make me brainlyest

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On a coordinate plane, a line goes through (negative 12, negative 2) and (0, negative 4). A point is at (0, 6).

mariarad [96]

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line ⇒ 1st

Step-by-step explanation:

Parallel lines have:

Same slopes
Different y-intercepts

The formula of the slope of a line which passes through points $(x_{1},y_{1})$ and $(x_{1},y_{1})$ is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ The given line passes through points (-12 , -2) and (0 , -4)

∴ $x_{1}$ = -12 , $x_{2}$ = 0

∴ $y_{1}$ = -2 , $y_{2}$ = -4

- Use the formula of the slope above to find the slope of the given line

∵ $m=\frac{-4-(-2)}{0-(-12)}=\frac{-4+2}{12}=\frac{-2}{12}=\frac{-1}{6}$

∴ The slope of the given line is $\frac{-1}{6}$

∵ The two lines are parallel

∴ Their slopes are equal

∴ The slope of the parallel line = $\frac{-1}{6}$

∵ The parallel line passes through point (0 , 6)

- The form of the linear equation is y = mx + b, where m is the slope

and b is the y-intercept (y when x = 0)

∵ m = $\frac{-1}{6}$ and b = 6

∴ The equation of the parallel line is y = $\frac{-1}{6}$ x + 6

Let us check which point is on the line by substitute the x in the equation by the x-coordinate of each point to find y, if y is equal the y-coordinate of the point, then the point is on the line

Point (-12 , 8)

∵ x = -12 and y = 8

∵ y = $\frac{-1}{6}$ (-12) + 6

∴ y = 2 + 6 = 8

- The value of y is equal the y-coordinate of the point

∴ Point (-12 , 8) is on the line

Point (-12 , 8) is on the line that passes through (0, 6) and is parallel to the given line

Learn more:

You can learn more about the equations of parallel lines in brainly.com/question/9527422

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

Will mark brainliest if right!!!!!!

77julia77 [94]

Answer:

sorry if wrong put b as the answer

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3 years ago

One T-shirt is sold for every 5 people who attend a concert. What is one way to write the unit rate in words?

liraira [26]

Answer : the answer is 5 people per T-shirt

Step-by-step explanation: because its 5 people per 1 T-shirt

3 0

3 years ago

When a transversal is perpendicular to two parallel lines, all the angles formed measure 90°. Explain why.

kotykmax [81]

When two parallel lines are cut by a transversal, due to the natures of the different relationships among the angles, all of them will be either equal to the measure of the first angle or equal to that angle subtracted from 180. If the transversal is perpendicular to the parallel lines, forms a right angle, then both the angle given and the angle subtracted from 180 will be 90. This means all of the angles will be 90.

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4 years ago

Quadrilateral ABCD was dilated with the origin as the center of dilation to create quadrilateral EFGH on the graph below.

Marianna [84]

Answer:

(x,y)(0.4x, 0.4y) is the answer for your question

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3 years ago