Geometry: Equations of Lines

The equation of a line can be found for which situations?

Two points on the line are known. A point on the line and the slope are known.

Indicate in standard form the equation of the line passing through the given point and having the given slope. D(5, -2) m = ⅖

2x - 5y = 20

Indicate in standard form the equation of the line passing through the given points. P(6, 2), Q(8, -4)

3x + y = 20

Indicate in standard form the equation of the line passing through the given point and having the given slope. A(5, 5), m = 3

3x - y = 10

Indicate in standard form the equation of the line passing through the given points. M(0, 6), N(6, 0)

x + y = 6

Indicate in standard form the equation of the line passing through the given points. G(4, 6), H(1, 5)

x - 3y = - 14

Indicate in standard form the equation of the line passing through the given points. R(3, 3), S(-6, -6)

x - y = 0

Indicate in standard form the equation of the line passing through the given points. A(4, 1), B(5, 2)

x - y = 3

Indicate in standard form the equation of the line passing through the given points. S(½,1), T(½,4)

x = 1/2

Indicate in standard form the equation of the line passing through the given point and having the given slope. E(3, 5), m = undefined

x = 3

Indicate in standard form the equation of the line passing through the given point and having the given slope. C(0, 4), m = 0

y = 4

Indicate in standard form the equation of the line passing through the given points. X(0, 6), Y(5, 6)

y = 6 =

Indicate in standard form the equation of the line passing through the given point and having the given slope. B(6, 2), m = - ½

x + 2y = 10

Indicate in standard form the equation of the line passing through the given points. E(-2, 2), F(5, 1)

x + 7y = 12

Indicate in standard form the equation of the line passing through the given points. B(0, 0), C(4, -4)

x + y = 0

Indicate in standard form the equation of the line passing through the given points. L(5, 0), M(0, 5)

x + y = 5