Question

How do you write the point slope form of the equation given m=0 and (3,7)?

Answer 1

See the solution process below:

Explanation:

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 in the problem gives:

`(y - color(red)(7)) = color(blue)(0)(x - color(red)(3))`

Because the slope is `0` we know this is a horizontal line and would have a simplified equation of:

`y = 7`