parallel formula
y-y2=m(x-x2)
The general formula for finding the equation of a line that is parallel to another line can be expressed as:
y – y1 = m(x – x1)
Where:
– m is the slope of the given line, and also the slope of the parallel line
– (x1, y1) represents a point on the given line
To find the equation of the parallel line, we need to substitute the values of m, x1, and y1 into the formula. For example, suppose we have a line with equation y = 2x + 3, and we want to find the equation of a parallel line passing through the point (4, -1). We first need to determine the slope of the given line, which is 2. Then we plug in the point (4, -1) as (x1, y1):
y – (-1) = 2(x – 4)
Simplifying, we get:
y = 2x – 9
This is the equation of the parallel line passing through the point (4, -1).
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