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Chapter 4: Q20. (page 244)

Write each equation in slope-intercept form.

y+1=12x鈭�8

Short Answer

Expert verified

The equation in slope-intercept form isx鈭�2y=10.

Step by step solution

01

Step 1. State the concept of slope-intercept of an equation.

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

02

Step 2. Simplify the equation. 

In order to simplify y+1=12x鈭�8, first multiply both sides by 2 and then apply the distributive property.

y+1=12x鈭�82脳y+1=2脳12x鈭�82y+2=x鈭�8

03

Step 3. Write the equation in slope-intercept form.

Further, simplify the equation so as to rewrite the equation in the needed form of y=mx+b.

role="math" localid="1647426221408" 2y+2=x鈭�82y+2鈭�2=x鈭�8鈭�2Subtract2fromeachside2y=x鈭�10Subtractxfrombothsides鈭�1脳2y鈭�x=鈭�1脳鈭�10Multiplybothsidesby-1x鈭�2y=10

Thus, the equation in slope-intercept form is x鈭�2y=10.

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Most popular questions from this chapter

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