Easy Algebra Step-by-Step

172 Easy Algebra Step-by-Step 10 y x 9 8 7 6 5 4 3 2 1 –10–9–8–7–6–5–4–3–2–1 1 2 3 4 5 6 7 8 9 10 Origin –1 –2 –3 –4 –5 –6 –7 –8 ...

The Cartesian Coordinate Plane 173 vertical distance (up or down) of the point P from the x-axis. If y is positive, P is above t ...

174 Easy Algebra Step-by-Step Problem State whether the two ordered pairs are equal. Explain your answer. a. (2, 7), (7, 2) b. ( ...

The Cartesian Coordinate Plane 175 Problem Identify the quadrant in which the point lies. a. (4, −8) b. (1, 6) c. (−8, −3) d. (− ...

176 Easy Algebra Step-by-Step Step 2. Identify the quadrant in which the point lies. Because x is positive and y is positive, (1 ...

The Cartesian Coordinate Plane 177 Step 2. Evaluate the formula for the values from step 1. d =^2 2 ()xx 21 x +()yyy −y 1 = 22 ( ...

178 Easy Algebra Step-by-Step Finding the Slope of a Line Through Two Points in the Plane When you have two distinct points in a ...

The Cartesian Coordinate Plane 179 Problem Find the slope of the line through the points shown. 10 y x 9 8 7 6 5 4 3 2 1 –10–9–8 ...

180 Easy Algebra Step-by-Step Solution a. (−1, 4) and (5, −3) Step 1. Specify (x 1 , y 1 ) and (x 2 , y 2 ) and identify values ...

The Cartesian Coordinate Plane 181 Step 3. State the slope. The slope of the line that contains (5, 8) and (5, −3) is undefi ned ...

182 Easy Algebra Step-by-Step Step 2. Find m. m = yy xx y 1 21 x = ()− ()− () )− 4 )−(− = − − 24 − 13 + = − 6 2 = −3 Step 3. Det ...

The Cartesian Coordinate Plane 183 10 y K x 9 8 7 6 5 4 3 2 1 –10–9–8–7–6–5–4–3–2–1 12345678 (0, 0) –1^910 –2 –3 –4 –5 –6 –7 –8 ...

184 17 Graphing Linear Equations In this chapter, you learn about graphing linear equations. Properties of a Line The graph of a ...

Graphing Linear Equations 185 If you have two distinct points (,xy,,y 1 ) and (,xy,,y 2 ) on a nonvertical line, then the slope, ...

186 Easy Algebra Step-by-Step Step 4. Plot the two points and draw the line through the points. –2 4 2 5 (1, 1) (0, –1) x y y = ...

Graphing Linear Equations 187 Step 2. Plot the intercept point and the point (,, 4 ) and draw the graph. 4 2 1 –2 5 (1, 4) y x y ...

188 Easy Algebra Step-by-Step Step 3. Plot the intercept point and the point (,, 1 ) and draw the graph. 4 2 –2 5 (2, –1) 3 2 y ...

189 18 The Equation of a Line In this chapter, you determine the equation of a line. The basic graph of all of mathematics is th ...

190 Easy Algebra Step-by-Step Problem Given the slope m= 1 2 and the y-intercept y= −2, write the equation of the line. Solution ...

The Equation of a Line 191 Problem Given the slope m= 1 2 and a point (−1, 3) on the line, write the equation of the line. Solut ...