How do you write an equation of a line with point (1,0), slope 1?

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Answer 1 · 2017-01-08T14:25:58

Use the point-slope formula. See explanation below

We can write this equation using the point-slope formula:

The point-slope formula states: $(y - y_{1}) = m (x - x_{1})$ $(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))$

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

Substituting the slope and point we were given in the example results in:

$(y - color(red)(0)) = color(blue)(1)(x - color(red)(1))$

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

Or

$y = x - 1$