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blsea [12.9K]
3 years ago
12

Which choice shows +=7

Mathematics
1 answer:
ZanzabumX [31]3 years ago
7 0

Answer:

y=-x+7

The graph in the attached figure

Step-by-step explanation:

we have

x+y=7

This is the equation of the line in standard form

Convert to slope intercept form

y=mx+b

where

m is the slope

b is the y-intercept

Isolate the variable y

subtract x both sides

x+y-x=-x+7

simplify

y=-x+7

The y-intercept is the point (0,7)

Find the x-intercept

For y=0

0=-x+7\\x=7

The x-intercept is the point (7,0)

Plot the intercepts and join them to graph the line

see the attached figure

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The rule for the reflection is explained below. The correct option will be x-axis (x, y) = (x, -y).

In real life, we think of a reflection as a mirror image, like when we look at own reflection in the mirror.

This idea of reflection correlating with a mirror image is similar in math.

<h3>Reflection Over the X Axis </h3>

A reflection of a point, a line, or a figure in the X axis involved reflecting the image over the x axis to create a mirror image.

In this case, the x axis would be called the axis of reflection.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

When point P with coordinates (5,4) is reflecting across the X axis and mapped onto point P’, the coordinates of P’ are (5,-4).

Notice that the x-coordinate for both points did not change, but the value of the y-coordinate changed from 4 to -4.

<h3>Reflection Over the Y Axis </h3>

A reflection of a point, a line, or a figure in the Y axis involved reflecting the image over the Y axis to create a mirror image.

In this case, the Y axis would be called the axis of reflection.

The rule for reflecting over the Y axis is to negate the value of the x-coordinate of each point, but leave the y-value the same.

when point P with coordinates (5,4) is reflecting across the Y axis and mapped onto point P’, the coordinates of P’ are (-5,4).

Notice that the y-coordinate for both points did not change, but the value of the x-coordinate changed from 5 to -5.

Hence the correct option is r x-axis(x, y) = (x, -y).

For more details on reflection follow the link:

brainly.com/question/4998744

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