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romanna [79]
1 year ago
10

What is the slope-intercept form of the linear equation 4x + 2y = 24?

Mathematics
2 answers:
uysha [10]1 year ago
6 0

Answer:

y = -2x + 12

Step-by-step explanation:

Given equation,

→ 4x + 2y = 24

The slope-intercept form is,

→ y = mx + b

Converting into slope-intercept form,

→ 4x + 2y = 24

→ 2y = -4x + 24

→ y = (-4x + 24)/2

→ [ y = -2x + 12 ]

Hence, the solution is y = -2x + 12.

USPshnik [31]1 year ago
3 0

Answer:

y = -2x + 12

Step-by-step explanation:

<u>Slope-intercept form</u>

y=mx+b

where:

  • m is the slope.
  • b is the y-intercept.

Therefore, to find the slope-intercept form of the given linear equation, isolate y:

\implies 4x+2y=24

\implies 4x+2y-4x=-4x+24

\implies 2y=-4x+24

\implies \dfrac{2y}{2}=\dfrac{-4x}{2}+\dfrac{24}{2}

\implies y=-2x+12

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