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2 years ago

Y = -x - 1 and y = 1/2x + k intersect at the point (-2,1). Find the value of k.

Mathematics

1 answer:

Lena [83]2 years ago

8 0

Answer:

k = 2

Step-by-step explanation:

(-2,1) = (x,y) So you substitute -2 and 1 for x and y

1 = -(-2) - 1 1 = 1/2 × -2 + k

1/2 × -2 = -1 -1 + 2 = 1

k = 2 1 = 1/2 × -2 + 2

I hope this helps

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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 ).

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

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

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 )

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

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↦ $\boxed{ \text{y = - 2x + 6}}$

And we're done !

Hope I helped!

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