Standard Form: Ax + By = C

Algebra B

5.4: Standard Form

Student Notes

Standard Form: Ax + By = C * x and y are on the __________________________ * the constant term, C, is on the ___________________________ * A, B, and C need to be ___________________ (no decimals or fractions) * A must be ________________________

Examples: Write the equation in standard form with integer coefficients.

1. y = -x + 5

4. y - 8 = 2(x - 6)

2. y = x – 5

5. y + 5 =

(x - 9)

3. y = - x + 7

6. y + 1 =

(x + 12)

Algebra B

5.4: Standard Form

Student Notes

Examples: Write in standard form an equation of the line that passes through the given point and has the given slope. 7. (-8, 3), m=2

8. (3, -2), m=5

Examples: Write in standard form an equation of the line that passes through the two points 9. (-3, 0), (0, 2)

10. (-4, 1), (2, -5)

Examples: Write an equation of the line in standard form.

11.

12.

13.