Name: REVIEW Linear Equations 1. What is the slope of the line y = -2x + 3? 2. Write the equation in slope-intercept form. Block: Date: 7.What is the equation of the line that passes through the point (5, -3) and has a slope of -3? 8. What is the slope of the line perpendicular to the line 2 y x 6? 3 3. What is the equation of a line with a slope of 8 and a y-intercept of -3? 4. Identify the x & y intercepts and slope. (y-intercept) (x-intercept) (slope) Write the equation in y=mx+b. 9.Which statement is true of the given lines? Line a: y = 2x + 4 1 Line b: y x 6 2 Line c: y = 2x 2 A. Lines a and b are perpendicular. B. Lines a and c are perpendicular C. Lines a and b are parallel. D. Lines a and c are parallel. 10. What is required of a line written in standard form? A. The coefficient of x must be negative B. There are no fractions or decimals in the equation C. The coefficient of y must be positive D. All of the above are required 11. What is the standard form of the equations that passes through (5, 0), and (6, -8)? Write the equation in Ax + By = C. 5. You pay 12 cents a minute and $22 a month. Write an equation to model your monthly bill. 12. What is the equation of the line show? 6. To write a linear equation given two points on that line, you must first: A. find the x-intercept B. find the slope C. find the y-intercept D. graph the equation 13. Which equation has a slope of 2? A. y = -2x + 5 B. y = 2x + 5 C. 3y + 2x = 5 D. 2x = y 5
_14. Assume that y varies inversely as x. If y = 6 when x = 2.5, write and inverse variation equation that relates x and y. 15. Write an equation for the line that best fits the date in the graph.
Name: Block: Date: _ Graphing Lines Sketch the graph of each line using the x and y-intercepts. Identify the slope and write the equation of the line in slope-intercept form. 1. x + y = 4 2. x - y = -2 slope: slope-intercept form: _ slope: slope-intercept form: 3. 3x + 2y = 6 4. 12x + 2y = 6 slope: slope-intercept form: slope: slope-intercept form:
5. x - 2y = -4 6. 2x + 3y = 6 slope: slope-intercept form: _ slope: slope-intercept form: 7. 2x + y = 1 8. 2x - y = 4 slope: slope-intercept form: _ slope: slope-intercept form: 9. 2x + y = 3 10. x - 5y = -5
Name: Block: Date: _ Writing Linear Equations Review 1. The slope of any horizontal line is because the difference in the y-coordinates is zero. 2. The slope of any vertical line is because the difference in the x-coordinates is zero. 3. Non-vertical parallel lines have slopes. 4. The slopes of non-vertical perpendicular lines are reciprocals. 5. A line s is the y-coordinate of the point where the line intersects the y-axis. 6. Changing the slope affects the and of a line. 7. Changing the y-intercept transforms a line without changing its. Matching: 8. Slope-Intercept Form A. Ax + By = C 9. Point-Slope Form B. y = mx + b 10. Standard Form C. y y1 = m(x x1) Write an equation of the line in slope-intercept form. 11. The slope is -5; the y-intercept is 7. 12. The slope is 10; the y-intercept is -3. Write an equation of the line in slope-intercept form. 13. 14. 15.
Write a linear equation in slope-intercept form to model the situation. 16. To use the pool at the gym, you pay a one-time fee of $50 and then $7 per visit. 17. In 1995, the population of Orlando, Florida, was about 175,000. At that time, the population was growing at a rate of about 2000 per year. Write a linear equation to find Orlando s population p for any year t. Describe and correct the error. 18. Pam and Jan wrote the equation of a line in slope intercept form going through (1,1) with a slope of 3. Pam says that Jan s equation is wrong. Pam Jan y Who is correct? Explain 3x 1 y 1 y 1 y 3( x 3x 1) 3 3x 2 Write an equation of the line in slope-intercept form. 19. (3, 0), m = -2 20. (1, 2), m = 2 Identify the slope. Write an equation of the line. 21. Slope: 22. Slope: Equation: Equation: