A line has a slope of 2 and goes through the point $(1, 9)$ . What is the equation for this line in point slope form?

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Answer 1 · 2017-03-24T01:25:55

See the entire solution process below:

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 slope and values from the point given in the equation allows us to write the equation as:

$(y - color(red)(9)) = color(blue)(2)(x - color(red)(1))$

A line has a slope of 2 and goes through the point (1, 9)(1, 9). What is the equation for this line in point slope form?