Lone Star College-CyFair Formula Sheet The following formulas are critical for success in the indicated course. Student CANNOT bring these formulas on a formula sheet or card to tests and instructors MUST NOT provide them during the test either on the board or on a handout. They MUST be memorized. Math 1314 College Algebra FORMULAS/EQUATIONS Distance Formula If 1 = ( 1 , 1 ) and 2 = ( 2 , 2 ), the distance from 1 to 2 is ( 1 , 2 ) = √( 2 − 1 ) 2 + ( 2 − 1 ) 2 Standard Equation Of a Circle The standard equation of a circle of radius with center at (ℎ, ) is ( − ℎ) 2 + ( − ) 2 = 2 Slope Formula The slope of the line containing the points 1 = ( 1 , 1 ) and 2 = ( 2 , 2 ) is = 2 − 1 2 − 1 if 1 ≠ 2 is undefined if 1 = 2 Point-slope Equation of a Line The equation of a line with slope containing the points ( 1 , 1 ) is − 1 = ( − 1 ) Slope-Intercept Equation of a Line The equation of a line with slope and -intercept is = + Quadratic Formula The solutions of the equation 2 + + = 0, ≠ 0, are = − ± √ 2 − 4 2
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Lone Star College-CyFair Formula Sheet€¦ · · 2017-12-19Lone Star College-CyFair Formula Sheet The following formulas are critical for success in the indicated course. Student
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Lone Star College-CyFair Formula Sheet
The following formulas are critical for success in the indicated course. Student CANNOT
bring these formulas on a formula sheet or card to tests and instructors MUST NOT
provide them during the test either on the board or on a handout. They MUST be
memorized.
Math 1314 College Algebra
FORMULAS/EQUATIONS
Distance Formula If 𝑃1 = (𝑥1, 𝑦1) and 𝑃2 = (𝑥2, 𝑦2), the distance from 𝑃1 to 𝑃2 is
𝑑(𝑃1, 𝑃2) = √(𝑥2 − 𝑥1)2 + (𝑦2 − 𝑦1)2
Standard Equation
Of a Circle
The standard equation of a circle of radius 𝑟 with center at (ℎ, 𝑘) is
(𝑥 − ℎ)2 + (𝑦 − 𝑘)2 = 𝑟2
Slope Formula
The slope 𝑚 of the line containing the points 𝑃1 = (𝑥1, 𝑦1) and 𝑃2 = (𝑥2, 𝑦2) is
𝑚 =𝑦2 − 𝑦1
𝑥2 − 𝑥1if 𝑥1 ≠ 𝑥2
𝑚 is undefined if 𝑥1 = 𝑥2
Point-slope
Equation of a Line
The equation of a line with slope 𝑚 containing the points (𝑥1, 𝑦1) is
𝑦 − 𝑦1 = 𝑚(𝑥 − 𝑥1)
Slope-Intercept Equation of
a Line
The equation of a line with slope 𝑚 and 𝑦-intercept 𝑏 is
𝑦 = 𝑚𝑥 + 𝑏
Quadratic Formula
The solutions of the equation 𝑎𝑥2 + 𝑏𝑥 + 𝑐 = 0, 𝑎 ≠ 0, are