Question

What is the equation of the line through the origin and (3,4)

Answer 1

Answer:

y = (4/3)x

Step-by-step explanation:

Remember that the origin is located at (0,0).  Thus, we have 2 points on this line: (0,0) and (3,4).  Going from (0,0) to (3,4), x increases by 3 and y by 4.  Thus, the slope of this line is m = rise/run = 4/3.  Since the line goes thru the origin, the y-intercept is b = 0, and so the equation of this line is y = (4/3)x.