How do you write an equation of a line given (8, 13), m=-9?

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Answer 1 · 2017-03-21T20:12:54

See the entire solution process below:

We can use the point-slope formula to write and equation for the line described by the information in the problem:

The point-slope formula states: $(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))$

Where $color(blue)(m)$ is the slope and $color(red)(((x_1, y_1)))$ is a point the line passes through.

Substituting the values from the problem gives:

$(y - color(red)(13)) = color(blue)(-9)(x - color(red)(8))$