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Equations of Lines

Equations of Lines

  • The Point-Slope Form:

The point-slope form of the equation for a line with slope m which passes through the point (x 1 ; y 1) is

y - y 1 = m (x - x 1)

1. Find the slope and a point on the line whose equation is .

2. Find an equation of the line which passes through the points (2, -5) and (-1, 3).

  • Parallel Lines:

Nonvertical parallel lines have the same slope.

Examples:

1. Find an equation for the line parallel to 2x - 3y = 5 which passes through the point (2, 1).

2. Are the lines 5x - 2y = 4 and 15x = 6y + 3 parallel or not?

   


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