Respuesta :

the point-slope form is:

y + 5 = -(9/11)*(x - 3)

How to get the linear equation?

A line that passes through a point (x₁, y₁) and has a slope m, can be written in point-slope form as:

y - y₁ = m*(x - x₁)

Here we know that the line passes through (3, -5) and (-8, 4).

Then the slope is:

[tex]m = \frac{-5 - 4}{3 - (-8)} = \frac{-9}{11}[/tex]

And we can use (3, -5) as the point (x₁, y₁), then the point-slope form is:

y + 5 = -(9/11)*(x - 3)

If you want to learn more about linear equations:

https://brainly.com/question/4074386

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