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3 votes
Write the equation of the line that passes through the

point P (0,0) and is parallel to the line y = 2x - 4.

User Ssithra
by
6.3k points

1 Answer

5 votes

Answer: y = 2x also written as y = 2x + 0

Explanation:

When dealing with parallel lines their slopes are ALWAYS the same so the equation would have the slope of 2, but to find the y intercept you have to plug the coordinate given into the point-slope formula (y - y1) = m(x - x1) where m is the slope, y1 is the y output of the coordinate and x1 is the x input of the coordinate.

1. Plug cordinate into point slope form equation:

(y - 0) = 2(x - 0)

2. Distribute the 2 to x and 0

y - 0 = 2x - 0

The two zeros cancel out because they are 0s to begin with so your final answer for your y - intercept is 0

hope this helps :)

User Heinrich Ulbricht
by
7.7k points
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