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Please do not write any of the answers using decimals: use fractions when necessary. Find the equation of a line where m = -1/3 and b = -2. Graph...
Please do not write any of the answers using decimals: use fractions when necessary.
1. Find the equation of a line where m = -1/3 and b = -2. Graph this line.
2. Find the equation of a line with a slope of 3 that passes through the point (-1,2). Graph this line.
3. I will guide you through this next problem in steps. A line passes through the points (1,3) and (-2,2). a. Find the slope. b. Find the y intercept b. c. Find the equation of the line. d. Graph the line
4. Find the equation of a line parallel to the line y = -1/2 x + 1 passing through the point (1,-1). (Hint: what do you know about the slopes of parallel lines? Once you know the slope find b and then the equation of the line). Graph both lines.
5. Given the line y = -x + 3 a. Find the slope of a perpendicular line b. Find the equation of a line perpendicular to this line passing through the point (1,-1). (Hint: find b first and then the equation) c. Graph both lines.
6. Solve this system using substitution then graph. 6x + 3y = 14 2x + y = -3
7. Solve and then graph this system using the elimination method 3x – 2y = 6 -6x + 4y = -12 8. Solve and then graph this system using either method: x = 6 – 4y 2x + y = 5
9. Working his way through school, John works two part-time jobs for a total of 25 hours per week. Job A pays $7.50 per hour and Job B pays $8.40 per hour. How many hours did he work at each job if he made $200.10 this week?
10. What do you think the graph of this equation would be? Please show me.
2x + y ≤ 6
