Answer:
y = 2x
Explanation:
To write the equation of a line u use the formula y = mx + b, where
y = y coordinate
m = slope
x = x coordinate
b = y intercept
One thing about parallel lines is that they always have the same slope. If you want to find a line parallel to y = 2x + 3, then the parallel line will also have a slope of 2.
So far, then, the equation would look like this: y = 2x + b
To find the y-intercept, we substitute in the values from (3,6) into the equation because the line passes through that point. So:
y = 2x + b
(6) = 2(3) + b
6 = 6 + b
6 - 6 = b
b = 0
Since the y-intercept is 0 (so the line passes through the origin), it doesn't need to be written on to the end of the equation.
y = 2x + 0 is just
y = 2x
That's your final equation! hope this helps!
