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How can you find a line passing through a point and parallel to another line?

a) Parametric equations
b) Slope-intercept form
c) Point-slope form
d) Standard form

User Giliweed
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2 Answers

2 votes

Answer:

c

Step-by-step explanation:

A PARALLEL line will have the SAME SLOPE....so if you have the slope and a point, point-slope would be the easiest

User DotchuZ
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4 votes

Final answer:

To find a line parallel to another line and passing through a given point, use the point-slope form, y - y1 = m(x - x1), where (x1, y1) are the given point's coordinates and m is the slope from the first line's equation.

Step-by-step explanation:

To find a line passing through a point and parallel to another line, you can use the point-slope form of the equation. First, determine the slope of the given line, which is the coefficient of x in the slope-intercept form y = a + bx. Then, use the slope (b in this case) along with the coordinates of the given point to write the new line's equation in point-slope form, which is y - y1 = m(x - x1), where (x1, y1) are the coordinates of the given point and m is the slope of the parallel line. Since parallel lines have the same slope, this will ensure the two lines are parallel.

For example, if the given line equation is y = 2x + 3 and it passes through the point (4, 5), the slope is 2. The equation of a line parallel to the given line and passing through (4, 5) would be y - 5 = 2(x - 4).

User Iresha Rubasinghe
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