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A coordinate grid with a line passing through the points (negative 4, negative 4), (0, negative 2), and (4, 0).
What is the equation of the line in point-slope form?

y + 4 = (x + 4)
y – 4 = (x + 4)
y – 0 = 2(x - 4)
y – 4 = 2(x – 0)

Respuesta :

y + 4 =1/2 (x + 4) is the answer

The equation of the line in point-slope form is (y + 4) = 1/2(x + 4).

What is the equation of a line in point-slope form?

The equation of a straight line in point-slope form is:

(y - y₁) = m(x - x₁)

Here, m = slope

(x₁, y₁) = the point through which the line passes.

Given, the line is passing through the points (- 4, - 4), (0, - 2), and (4, 0).

Therefore, slope of the given line is (m )

= (y₂ - y₁)/(x₂ - x₁)

= [(0 - (- 2)]/(4 - 0)

= 2/4

= 1/2

Therefore, the equation of the required straight line is

(y - y₁) = m(x - x₁)

⇒ (y + 4) = 1/2(x + 4)

Learn more about the equation of a line in point-slope form here:

https://brainly.com/question/27916877

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