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Equation of Line

1.Graph
x+4Y=5

2. Graph
x-2y=6

3. How do I find the slope of the line with points (0,0) (2,4)

4. How do I find the slope of the line with points (-3,1) (2,-2)

5. How do I graph the line with points & slope (-2,5) slope -1

6. How do I draw l1 (L sub 1) through (-4,0) (0,6)
What is the slope of any line parallel to l1 (L sub 1)?
How do I draw l2 (L sub2) through the original and parallel to l1 (L sub 1)?

7. How do I write an equation using slope intercept form points (0,-1) & (4,1)

8. How do i find the slope & y intercept for each line that has a slope & y -intercept x+2y=3

9. How do I write this in standard form? 1/2 x-9=0

10. How do i determine whether the linear are parallel, perpendicular or neither
y=1/3x+1/2
y=1/3x-2

11. How do I write this in intercept form? 2x+3y=90

12. How do I find the equation of each line and how do I write in slope intercept form?
The line is parallel to -3x+2y=9 and contains the point(-2,1)

13.How do I find the equation of each line in the form y=mx+b if possible.
The line through the origin that is perpendicular to the line through (-3,0) and (0,3)

14. How do I graph each inequality?
2x-y+3>0 (this > is underlined)

15. 2x+5y>10 (this >is underlined)

16. Price =20-1/2u where the demand curve is Price =6+3u

How do I put this 2 curves in a graph using Price as y axis and u as x axis
What is the equilibrium price?

17. How do I pick an arbitrary slope & intercept and write the equation in y=mx+b form?

How do I graph the line and what is the slope of the perpendicular line?
How is it related to the slope of the original line?
If m is the slope of the line what is the slope of any line perpendicular to it?

18.Consider the function that relates time and distance as sound travels through the air. An observer can estimate the distance to an approaching thunderstorm by counting the seconds between a flash of lightning and the resulting sound of thunder. Every 5 seconds, sound travels approximately 1 mile. If you count up to 10 seconds before hearing the thunder, the storm is approximately 2 miles away. In this example, distance is a function of time.

The concept of slope occurs in many applications of mathematics. For example, highway engineers measure the slope of a road by comparing the vertical rise to each 100 feet of horizontal distance. The Federal Highway Administration recommends a maximum vertical rise of 12 feet for every 100 feet of horizontal distance. Many secondary roads and streets are much steeper. Filbert Street in San Francisco has a vertical rise of approximately 1 foot for every 3 feet of horizontal distance. By comparison the walls at the ends of the Daytona International Speedway have a vertical rise of 3 feet for every 5 feet of horizontal distance.

Find and describe another example of how slope is used in one's every day life.

Solution Preview

If (x1,y1) , (x2,y2) are two points then

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