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Chapter 4: Q33. (page 272)

Write the given equation in standard form.

y+4=12(x鈭�3)

Short Answer

Expert verified

The equation of the line in standard form is x鈭�2y=11.

Step by step solution

01

Step 1. Standard form of the linear equation:

The standard form of an equation of a line is given by,

ax+by=c

Where, localid="1647423035007" a,鈥�band,localid="1647423040808" care the real numbers.

02

Step 2. Change the equation in standard form.

The equation is given by,

y+4=12x鈭�32y+4=1x鈭�32y+8=x鈭�3x鈭�2y=8+3x鈭�2y=11

This equation is in standard formlocalid="1647423004159" ax+by=c, wherelocalid="1647423011568" a=1,鈥�b=鈭�2andlocalid="1647423017566" c=11.

Therefore, the equation of the line in standard form islocalid="1647423024611" x鈭�2y=11.

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Most popular questions from this chapter

Graph each function. State the domain and range.

fx=2x鈭�3ifx鈮�2x+1ifx>2

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Write the given equation of line in slope-intercept form.

y-12=-2(x-3)

Write each equation in standard form.

y鈭�5=鈭�2x鈭�3

The linear equation below is a best fit model for the peak depth of the Mad River whenxinches of rain fall. What would you expect the peak depth of the river to be after a storm that produces 134inches of rain? Round your answer to the nearest tenth of a foot if necessary.

y=2.5x+14.8
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