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What is an equation of the line that passes through the points (1, -7) and (-4, 8)?

1 Answer

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Answer: y + 7 = -3 (x - 1)

Explanation:

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (- 7 - 8) ÷ ( 1 - (- 4))

= - 15 ÷ 5

= - 3

We can now use the point-slope form to write the equation for this line:

y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)

y - (-7) = -3 ( x - 1)

y + 7 = -3 (x - 1)

What is an equation of the line that passes through the points (1, -7) and (-4, 8)?-example-1
User Mohmmad S
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