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Write this equation in Y=MX+B form: 3x+4y=8

2 Answers

5 votes

Answer:

y = -3/4x + 2

Explanation:

Given:

Write this equation in "y=mx+b form"

Equation given: 3x+4y=8

Solve:

3x + 4y = 8

⇒ 3x -3x + 4y = 8 -3x ⊂ Subtract 3x from both side ⊃

⇒ 4y = -3x + 8

⇒ 4y/4 = -3x/4 +8/4 ⊂ Divide all by 4 ⊃

⇒ y = -3/4x + 2

Hence, this equation ( 3x + 4y = 8) in y = mx+b is y = -3/4x + 2

Lenvy~♡

User Brookes
by
8.0k points
4 votes

the initial expression is:


3x+4y=8

So to write it in the form slope intercept we can rest 3x in bout sides of the equation so:


\begin{gathered} -3x+3x+4y=-3x+8 \\ 4y=-3x+8 \end{gathered}

now we divide by 4 so:


\begin{gathered} (4y)/(4)=-(3)/(4)x+(8)/(4) \\ y=-(3)/(4)x+2 \end{gathered}

No M is equal to -3/4 and B is equal to 2e

User Muzer
by
9.2k points

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