Algebra II Lesson 2.2 Standard Form of Linear Equations

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. D(5, -2) m = 2/5

2x-5y=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 the equation of the given line in standard form. The line with slope and containing the midpoint of the segment whose endpoints are (2, -3) and (-6, 5).

9x-7y=-25

Select all that apply. 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 the equation of the given line in standard form. The line containing the hypotenuse of right triangle ABC where A(-5, 5), B(1, 1), and C(3, 4) are the vertices.

x+8y=35

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

Indicate the equation of the given line in standard form. The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and U(2, 0).

10x+6y=39

Indicate the equation of the given line in standard form. The line through the midpoint of and perpendicular to the segment joining points (1, 0) and (5, -2).

2x-y=7

Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

3x-4y=10

Indicate the equation of the given line in standard form. The line containing the longer diagonal of a quadrilateral whose vertices are A (2, 2), B(-2, -2), C(1, -1), and D(6, 4).

3x-4y=2

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 the equation of the given line in standard form. The line containing the diagonal of a square whose vertices are A(-3, 3), B(3, 3), C(3, -3), and D(-3, -3). Find two equations, one for each diagonal.

x +/- y = 0

Indicate in standard form the equation of the line passing through the given point and having the given slope. B(6, 2), m = 1/2

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 the equation of the given line in standard form. The line containing the midpoints of the legs of right triangle ABC where A(-5, 5), B(1, 1), and C(3, 4) are the vertices.

x+8y=22

Indicate the equation of the given line in standard form. The line containing the altitude to the hypotenuse of a right triangle whose vertices are P(-1, 1), Q(3, 5), and R(5, -5).

x-5y=-6

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(1/2, 1), T(1/2, 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 the equation of the given line in standard form. The line through point (-3, 4) and perpendicular to a line that has slope

5x+2y=-7