Name __________________________________________________ Date ___________________________ Review for Linear Functions Test 2 – Algebra 1 AB Part I. Find the slope of each line between the two points. 1. (4, 5) and (4, -2) 2. 3. (5, 7) and ( –3, 8) Part II. Find the slope and y-intercept, then graph. 4. 2x+5y = 15 5. y = 3x - 1 m = ________ m = ________ b = ________ b = _________ Part III. Use a graphing calculator to determine the equation of the line of regression and the correlation coefficient for the following table. 6. equation: ___________________ 7. Correlation coefficient: ____________ Part IV. Write the equation of the line, given the slope and y-intercept. 2 8. slope= y-intercept= 3 9. slope= 4 y-intercept= 5 3 Part V. Write the equation of the line in point-slope form that goes through the following point with the given slope. 10. m = 3 (12, -7) Part VI. Write the equation of the line that goes through the two points, in slope-intercept form. 11. (-2, 6) and (4, 9) 12. (1, 3) and (2, -5) Part VII. Write the equation for the line in slope-intercept form that is parallel to the given line and passes through the given point. 13. y = -4x + 7 through (1, -12) Part VIII. Write the equation of the line in slope intercept form that is perpendicular to the given line and contains the given point. 3 14. y = x + 5 through (9, 1) 5 Part IX. Follow the directions for each question. 15. Change y + 7= 3 ( x - 8) into: 4 16. The cost of summer school is $50 plus $100 per class. a. Write an equation that illustrates this situation: a. Slope-intercept form: _____________ b. Standard form:____________ _______________________________ b. What is the cost for attending 4 classes? ________________________________ Part X. Determine if the following scatter plots have a Positive, Negative or No Correlation. 17. 18. Part XI. Write the inverse function of the following functions. 19 f(x)=3x+6 20. f(x)=4x – 5