Which equation represents the line whose slope is -2 and that passes through point (0, 3)?

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Answer 1 · 2017-01-03T13:44:28

Use the point-slope formula to solve this problem. See the full explanation below:

Because we are five the slope of the line and a point on the line we can use the point slope formula to complete this problem:

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 the point we were provided gives this equation to solve the problem:

$(y - color(red)(3)) = color(blue)(-2)(x - color(red)(0))$

$y - color(red)(3) = color(blue)(-2)x$

If we want to put this formula in the more familiar slope-intercept form we can solve for $0$ as follows:

$y - color(red)(3) + 3 = color(blue)(-2)x + 3$

$y - 0 = -2x + 3$

$y = -2x + 3$