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

1 Answer
smendyka
Feb 21, 2017

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#

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