Algebra 1 Review 6.1-6.2, 6.4-6.6 Name ____________________________ Period ___________ Date ____________ Section 1: Find the slope between the following two points. (Section 6.1) B. 3 , 5 and 4 , 7 P. 2 , 9 and 5 , 8 1 4 A. , 7 and , 4 3 3 Section 2: Write the equation of the line for each situation (Section 6.5) B. 3 , 5 and 4 , 7 P. Equation ____________ Equation _______________ Equation _______________ A. Section 3: Decide if each equation is Slope-intercept form, Standard form, or neither. B. y 2 x 1 ______________________________ P. 2 x 3 y 11 ______________________________ 2 x 4y 7 3 ______________________________ A. Section 4: Point-slope form (Section 6.5) B. What is the slope of the line y 9 2( x 4) ? P. If you have a line with a slope of 4 and it passes through the point (-2, 1), what is the equation for the line in point-slope form? A. Graph the equation y 2 4( x 1) (Hint: put it into slope-intercept form) Section 5: Find the slope for each situation. (Section 6.1, 6.2) B. y 2 x 8 P. Slope ________ Slope ________ A. Slope ________ Section 6: Graph the following equations. (Section 6.2) (Hint: Solve for y on the last one.) B. y 2 x 4 2 P. y x 3 5 A. 2 y 5 3x Section 7: Find the x- and y- intercepts of each line. (Section 6.4) B. x + 2y = 18 P. 9x – 6y = -72 A. 4x + 12y = -18 Section 8: Graph each equation. (Section 6.4) (Hint: They are all in Standard form.) B. x 2 y 8 P. 2 x 3 y 18 A. 3x 5 y 8 Section 9: Horizontal and Vertical Lines. (Section 6.4) B. Graph the equation y=3 P. Graph the equation x = -7 A. What is the slope of the line with the equation x = 1.5? Section 10: Parallel and Perpendicular (Section 6.6) B. Given the equation y 2 x 5 . What is the slope of a line parallel to the graph of this equation? Slope _________ P. Given the equation y 2 x 5 . What is the slope of a line perpendicular to the graph of this equation? Slope _________ A. Write an equation of a line that is perpendicular to the given line that passes through the given point. 4 x 2 y 9 ; (8, -2) Section 11: Parallel and Perpendicular (Section 6.6) For each set of equations below tell if they are parallel, perpendicular, or neither. y 3x 5 y 1 x2 2 y 3x 6 y 3x 7 _________________________ y 2 x 3 _________________________ y 6 3x _________________________