Please help me with these problems and please show all work and steps to your solutions. This will help me better understand the problems once I have the answer and the steps for it. Thanks!

Please show work

1. How do we write the equation of a horizontal line? What would be an example?
2. How do we write the equation of a vertical line? What would be an example?
3. The points (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471) all lie on line M.
The points (3, -9), (5, -11), (15, -21), (34, -40), (678, -684), and (1234, -1240) all lie on line N.
a. Form the equations of both the lines. Show your work.
b. What are the co-ordinates of the point of intersection of lines M and N?
c. Write the co-ordinates of the intersections of lines M and N with the x-axis.
d. Write the co-ordinates of the intersection of lines M and N with the y-axis.

Solution Summary

This provides explanations of working with writing equations of lines and finding intersection points.

1) For the equations, you are learning several methods of finding the solution to a system. Is there a difference in the result you get using an algebraic method and what you get using a graphical method? Why or why not? How does the graph of two linear equations relate to the number of solutions to the system? How could you

Please help me solve this problem.
Given the equation: y = |2x - 1| + 1
Absolute value equations involving linear powers of x result in two lines which cross each other.
1. What are the equations of the two lines from the absolute value equation?
y1 = m1x1 + b1 and y2 = m2x2 + b2
2. Plot these two lines on a piece of

1. Graph line with equation y=-4x-2.
2. 2x=8y=17=0
3. Graph the line with slope -2 passing through the point (-3,4).
4. Find slope of the line graphed (-44, 28) (9, -12).
5. x=9 graph the line
6. 6x-9y+7=0.
7. 2x=5y+3
8. Write an equation of line (0, -4).
9. A line passes through the point (6, -6

1.For the pairs of lines defined by the following equations indicate with an "I" if they are identical, a "P" if they are distinct but parallel, an "N" (for "normal") if they are perpendicular, and a "G" (for "general") if they are neither parallel nor perpendicular.
3x + 4y + 5 = 0 and y = - 3
4 x - 54 .
x = 2 and y = p

Determine whether the lines will be perpendicular when graphed.
3x - 2y = 6
2x + 3y = 6
Solve the system of equations by the substitution method
x + 3y = 32
-3x + 2y = 3
Solve the system of equations
x + y = 5
x - y = -9

1. Systems of equations can be solved by graphing, using substitution, or elimination. What are the pros and cons of each method?
2. What is the difference between intersecting and perpendicular lines? Can two lines exist that are not intersecting or parallel? Explain your answer.

1. A roof rises 2.25 ft over a horizontal distance of 17.37 ft. What is the slope of the roof to the nearest hundredth?
2. Determine which two equations represent parallel lines. (a) y = x + 4 (b) y = - x - 9 (c) y = 7x + 14 (d) y = 7x - 4.

1. How do you interpret the solution of a system of equations by the corresponding graph?
2. Is there a basic difference between solving a system of equations by the algebraic method and the graphical method? Why?
3. Which method do you think is better for solving linear equations - addition or substit

Question 1 - Draw the graphs of 2x-y-1 = 0 and 2x + y = 9; Write down the co-ordinates of the point of intersection of the two lines.
Question 2 - Solve graphically x + y + 2 = 0 and 3x - 4y = 5. Write down the co-ordinates of the point of intersection of the two lines.
Question 3 - Solve graphically x = 4 and 3x - 2y = 10. W