Slide 2:
Standard Form
Ax + By = C
EX Write two equations in standard form that are equivalent to 2x – 6y = 4. 2x – 6y = 4 2(2x – 6y) = 4(2) 4x – 12y = 8 2x – 6y = 4 ½ (2x – 6y) = 4(1/2) x – 3y = 2
Slide 3:
EX Write an equation in standard form of the line that passes through the point (1, 4) and has a slope of 3. y = mx + b (1, 4)
( x, y) -3 -3 m = 3 b = 1
y = mx + b y = 3x + 1 y = 3x + 1 -3x -3x -3x + y = 1
Slide 4:
EX Write an equation in standard form of the line through (-1, 1) and (2, -2). (x1, y1)
(-1, 1) (x2, y2)
(2, -2) y = mx + b (-1, 1)
( x, y) y = mx + b +1x +1x x + y = 0