Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5).

Mathematics

1 answer:

andrezito [222]2 years ago

4 0

<h2>Answer: y - 5 = - 4 (x - 4)</h2>

Step-by-step explanation:

The point-slope form of a line is (y - y₁) = m(x - x₁)

Since we know the slope (m) is -4

And the point ( x₁, y₁ ) is (4, 5)

Then we can just plug these into the equation above:

⇒ y - 5 = - 4 (x - 4)

I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).

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