Question

Help! I really need to pass!

Answer 1

Step-by-step explanation:

2X + Y = 6 is a required equation

Answer 2

Answer:

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

☥ $\tt{Question} :$

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

☥ $\tt{Step - \: by \: - \: step \: explanation}$

☪ $\underline{ \underline{ \text{Given : }}}$

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

☪ $\underline {\underline{ \text{To \: find}}} :$

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

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

☪ $\underline{ \underline{ \text{Solution}}} :$

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

plug the known values :

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

↦ $\text{y - 8 = - 2(x + 1)}$

Distribute -2 through the parentheses :

↦ $\text{y - 8 = - 2x - 2}$

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

↦ $\text{y = - 2x - 2 + 8}$

↦ $\boxed{ \text{y = - 2x + 6}}$

And we're done !

Hope I helped!

♡ Have a wonderful day / night ツ

~TheAnimeGirl ♪

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