Write equation of a line parallel or to a y=2x+3 that passes the ordered pair (3,6)

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!

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step-by-step explanation: