Chapter Review Review Ke Vocabular linear equation p. solution of a linear equation, p., p. 0 rise, p. 0 run, p. 0 Vocabular Help x-intercept, p. 8 -intercept, p. 8 -intercept form, p. 8 standard form, p. 7 point- form, p. 8 Review Examples and Exercises. Graphing Linear Equations (pp. 7) Graph = x. Step : Make a table of values. x = x (x, ) = ( ) 7 (, 7) = ( ) (, ) 0 = (0) (0, ) = () (, ) Step : Plot the ordered pairs. Step : Draw a line through the points. (, ) (, ) (, ) x (0, ) (, ) x (0, ) (, 7) 7 (, 7) 7 x Graph the linear equation.. = x. =. = 9 x. =. = x +. x = Chapter Review 9
. Slope of a Line (pp. 8 7) Find the of each line in the graph. Red Line: m = ( ) = x x = 8 0 The of the red line is undefined. Blue Line: m = x x ( ) = 7, or 7 Green Line: m = x x 0 = 0, or 0 (, ) (, ) (0, ) (, ) (, ) (, ) x The points in the table lie on a line. Find the of the line. 7. 8. x 0 x 0 0 9. Are the lines x = and = parallel? Are the perpendicular? Explain.. Graphing Proportional Relationships (pp. 8 ) The cost (in dollars) for x tickets to a movie is represented b the equation = 7x. Graph the equation and interpret the. The equation shows that the m is 7. So, the graph passes through (0, 0) and (, 7). Plot the points and draw a line through the points. Because negative values of x do not make sense in this context, graph in the first quadrant onl. The indicates that the unit cost is $7 per ticket. Cost (dollars) 0 0 0 0 0 Movie Tickets (, 7) (0, 0) x Number of tickets 0. RUNNING The number of miles ou run after x weeks is represented b the equation = 8x. Graph the equation and interpret the.. STUDYING The number of hours that ou stud after x das is represented b the equation =.x. Graph the equation and interpret the. 9 Chapter Graphing and Writing Linear Equations
. Graphing Linear Equations in Slope-Intercept Form (pp. 7) Graph = 0.x. Identif the x-intercept. Step : Find the and the -intercept. = 0.x + ( ) Step : The -intercept is. So, plot (0, ). Step : Use the to find another point and draw the line. m = rise run = -intercept Plot the point that is units right and unit up from (0, ). Draw a line through the two points. The line crosses the x-axis at (, 0). So, the x-intercept is. (, 0) x (0, ) 0.x Graph the linear equation. Identif the x-intercept. Use a graphing calculator to check our answer.. = x. = x + 8. = x 8. Graphing Linear Equations in Standard Form (pp. 7 77) Graph 8x + =. Step : Write the equation in -intercept form. 8x + = = 8x + Write the equation. Subtract 8x from each side. = x + Divide each side b. Step : Use the and the -intercept to graph the equation. = x + -intercept The -intercept is. So, plot (0, ). Draw a line through the points. (0, ) 8x (, ) x Use the to plot another point, (, ). Chapter Review 9
Graph the linear equation.. x + =. x + = 8 7. x + = 0 8. x + 8 = 9. A dog kennel charges $0 per night to board our dog and $ for each hour of platime. The amount of mone ou spend is given b 0x + = 80, where x is the number of nights and is the number of hours of platime. Graph the equation and interpret the intercepts.. Writing Equations in Slope-Intercept Form (pp. 78 8) Write an equation of the line in -intercept form. a. Find the and the -intercept. (, ) (0, ) m = x x 0 =, or x Because the line crosses the -axis at (0, ), the -intercept is. -intercept So, the equation is = x +, or = x +. b. x (0, ) (, ) Find the and the -intercept. ( ) = x x 0 m = =, or Because the line crosses the -axis at (0, ), the -intercept is. -intercept So, the equation is = x + ( ), or = x. 9 Chapter Graphing and Writing Linear Equations
Write an equation of the line in -intercept form. 0. (, ) x (0, ). (0, ) (, ) x. (0, ) x (, ). (, ) x (0, ). Write an equation of the line that passes through (0, 8) and (, 8).. Write an equation of the line that passes through (0, ) and (, )..7 Writing Equations in Point-Slope Form (pp. 8 89) Write in -intercept form an equation of the line that passes through the points (, ) and (, ). Find the. m = x x =, or Then use the and one of the given points to write an equation of the line. Use m = and (, ). = m(x x ) Write the point- form. = (x ) Substitute for m, for x, and for. = x 8 = x 7 Distributive Propert Write in -intercept form. (, ) (, ) x So, the equation is = x 7.. Write in point- form an equation of the line that passes through the point (, ) with. 7. Write in -intercept form an equation of the line that passes through the points (, ) and (, ). Chapter Review 9