Question

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

Answer 1

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

Explanation:

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 - 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 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`