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What is an equation of the line that passes through the point (−1,−3) and is parallel to the line 4x−y=2?
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What is an equation of the line that passes through the point (−1,−3) and is parallel to the line 4x−y=2?
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Mathematics
1 year
2021-09-05T02:31:47+00:00
2021-09-05T02:31:47+00:00 1 Answers
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Answer: y = 4x + 1
Step-by-step explanation:
1. Make the equation its parallel to in slope intercept form by subtacting 4x to get -y = -4x+ 2 then dividing both sides by -1 to get y = 4x -2
When dealing with parallel lines thier slopes are ALWAYS the same, so the equation we are making should have the slope of 4.
2. Plug in the corrordinates x and y values and the slope into the point-slope form equation to find the y intercept
(y – (-3)) = 4(x – (-1))
3. Solve for y in slope intercept form:
y + 3 = 4x + 4 —-> y = 4x + 1