Question

How do you write an equation that passes through the origin and has a slope of 3?

Answer 1

See the entire solution process below:

Explanation:

The origin is the point `(0, 0)`

We can use the point-slope formula to find the equation of the line passing through the origin and having a slope of 3. 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 point from the problem gives:

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

`y = 3x`