Writing the Equation Of A Line When Given A Point & A Slope Or Two Points

Directions: Please write the equation of the line that has a slope of m=1/4 and intersects the point (-4, 2).

Directions: Please calculate the equation of the line with the given slope that intersects the given point.
| 1. m=2, (2,4) | 2. m=-3, (-2,3) |
| 3. m=1/2, (1,5) | 4. m=2/3, (4,-4) |
| 5. m=4/5, (10,-8.6) | 6. m=0, (5,4) |
| 7. m=1.8, (1/2,4/3) | 8. m=100, (203,506) |
Directions: Please calculate the equation of the line that intersects the given points.
| 1. (-5,-1/3) & (0,3) | 2. (0,0) & (-2,3) |
| 3. (-3,-12) & (-1,-4) | 4. (-1,4) & (2,1) |
| 5. (-4,2) & (2,2) | 6. (0,3.5) & (7,11.5) |
| 7. (5,2) & (7,1.6) | 8. (2,-2) & (-3,3) |
Directions: Please answer the following word problems.
1. A lawyer gets paid a retainer and an hourly fee. The hourly rate for the lawyer is $500 per hour. The lawyer collects $1750 for 3 hours work. Write a linear equation that reflects the lawyer's pay scheme.
2. A company sells potato chips. When they sells 10 boxes of chips, their profit is $24. When they sell 18 boxes of potato chips, their profit is $38. Write a linear equation that reflects the profit scheme for this company? What is their profit on selling 102 boxes of chips?
Directions: Please write 1-2 paragraphs that thoroughly address the following.
1. Compare and contrast the process of writing the equation of line when given a point and slope to the process of writing the equation of a line when given two points.
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