Easy Algebra Step-by-Step

192 Easy Algebra Step-by-Step Determining the Equation of a Line Given Two Distinct Points on the Line You also use the point-sl ...

The Equation of a Line 193 Step 2. Now use the point-slope formula and one of the given points to fi nish writing the equation. ...

194 Easy Algebra Step-by-Step Given the slope m= 1 5 and a point (0, 1) on the line, write the equation of the line. Given th ...

195 19 Basic Function Concepts Representations of a Function Basic function concepts are presented in this chapter. One of the f ...

196 Easy Algebra Step-by-Step Step 2. Isolate the fi rst and second coordinates of the function f. The domain of f is D = {2, 3, ...

Basic Function Concepts 197 Solution a. y x = − 3 1 Step 1. Set the denominator equal to 0 and solve for x. x − 1 = 0 x − 1 + 1 ...

198 Easy Algebra Step-by-Step given value for x. In this setting, it is convenient to think of x as being an input value and f(x ...

Basic Function Concepts 199 Solution a. x= 4 Step 1. Check whether 4 is in the domain of the function. The square root of a nega ...

200 Easy Algebra Step-by-Step Step 2. Substitute 8 for x in the equation and evaluate. g() 8 88 − 32 () 8 g() 8 55 + 16 Problem ...

Basic Function Concepts 201 Form 3: Graphical Representation An additional way to represent a function is by graphing the functi ...

202 Easy Algebra Step-by-Step c. y= |x| Absolute value function d. yx Square root function Chapter 17 dealt with the graph of li ...

Basic Function Concepts 203 Problem Establish a functional relationship between the radius of a circle and its area. Solution St ...

204 Easy Algebra Step-by-Step Find the domain of each of the functions. a. y=f(x) = 5 x − 7 b. ygg()xx 23 xx− + 4 c. y x x = − ...

205 20 Systems of Equations In algebra, you might need to solve two linear equations in two variables and to solve them simultan ...

206 Easy Algebra Step-by-Step You solve the system when you answer the question: What are the coor- dinates of the point of inte ...

Systems of Equations 207 20 3 xy xy+=y 2220 123 ()) () 2 − ()^1 ()^2 =^1 = Check. √ Step 5. Write the solution. The solution is ...

208 Easy Algebra Step-by-Step Step 4. Check whether x= 3 and y= 2 satisfy both equations. 24 5 xy xy+=y 2624 325 ()()^6 − () 3 ( ...

Systems of Equations 209 2 x + 2 = 4 2 x = 2 2 2 2 2 x = x= 1 Step 5. Check whether x = 1 and y = −2 satisfy both original equat ...

210 Easy Algebra Step-by-Step Step 4. Substitute 1 for x in one of the original equations, 5x+ 2 y= 3, and solve for y. 5( 1 ) + ...

Systems of Equations 211 Solution Step 1. Write both equations in slope-intercept form. The fi rst equation, 2x + 5 y = 3, yield ...