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Write the equation of the line that passes through the point P (0,0) and is parallel to the line y = 2x – 4.
Question
Write the equation of the line that passes through the
point P (0,0) and is parallel to the line y = 2x – 4.
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Mathematics
4 years
2021-09-04T06:51:42+00:00
2021-09-04T06:51:42+00:00 1 Answers
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Answers ( )
Answer: y = 2x also written as y = 2x + 0
Step-by-step 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 🙂