MATH 0312 FORMULA SHEET
Forms for Equations of Lines
Standard Form:
ax + by = c
Slope-intercept Form: y = mx + b
Point-slope Form:
7 ~ Yi = m(x ~ xi )
Slope of a Line
Slope:
m = ^ 2 ~^
Factoring
a2 - b2 = (a - b)(a + b)
a3 - b3 = (a - b)(a2 + ab + b2)
a2 + b2 is prime.
a3 + b3 = (a + b)(a2 - ab + b2)
Quadratic Formula
x—
- 4ac
-b±'
2a
Pythagorean Theorem
In any right triangle, a2 + b2 = c2 , where c is the hypotenuse.
Distance Formula
Distance = rate x time