Question

Help! I really need to pass!

Answer 1

Explanation:

2X + Y = 6 is a required equation

Answer 2

`\huge{ \boxed{ \bold{ \sf{y = - 2x + 6}}}}`

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`\tt{Question} :`

• Write the equation of a line in slope - intercept form that has a slope of -2 and passes through the point ( - 1 , 8 ).

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`\tt{Step - \: by \: - \: step \: explanation}`

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`\underline{ \underline{ \text{Given : }}}`

• Slope ( m ) = -2
• Given point = ( - 1 , 8 )

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`\underline {\underline{ \text{To \: find}}} :`

• Equation of a line in slope - intercept form ( i.e y = mx + c )

Let the point ( -1 , 8 ) be ( x₁ , y₁ )

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`\underline{ \underline{ \text{Solution}}} :`

`\underline{ \sf{y - y1 = m(x - x1)}}`

plug the known values :

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`\text{y - 8 = - 2 \{ x - ( - 1) \} }`

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`\text{y - 8 = - 2(x + 1)}`

Distribute -2 through the parentheses :

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`\text{y - 8 = - 2x - 2}`

Transpose 8 to right hand side and change it's sign

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`\text{y = - 2x - 2 + 8}`

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`\boxed{ \text{y = - 2x + 6}}`

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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