Write the equation of a line that is parallel to y=9 and tha passes through the point (3,-8)

y = -8

Explanation:

For two lines to be parallel, they need to have the same slope

Since we need a line parallel to y = 9, y = 9 has a slope of zero

We can use the point-slope formula y = y₁ = m(x - x₁) to help us find the other line

Our (x₁, y₁) point in this case is (3, -8) and we already know our slope m is zero

So plugging in our values to the formula gives us y - (-8) = 0(x - 3) → distributing the negative to the -8 and distributing the zero gives us y + 8 = 0 → then subtracting 8 from both sides give y = -8

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