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.

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

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

1. Find the equation of the circle with center at the intersection of 4x + y - 4 = 0 and x - y - 6 = 0 and passing through (-1, -3).
2. What is the equation of the circle passing through (12, 1) & (2, -3) and having its center on the line 2x - 5y + 10 = 0.
3. The sides of the triangle are on the lines 3x - y - 5 = 0, x + 3

1. Why do intersecting lines represent a unique solution? Give examples to support your answer.
2. What is the significance of the name 'linear equation' to its graphical representation?
3. The solutions of line m are (3, 9), (5, 13), (15, 33), (34, 71), (678, 1359), and (1234, 2471).
The solutions of line n are (3, -9)

A. The solutions of line m are (3,3),(5,5),(15,15),(34,34),(678,678), and (1234,1234).
b. The solutions of line n are (3,-3),5,-5),(15,-15),(34,-34),(678,-678), and (1234,-1234).
c. Form the equations of both the lines
d. What are the co ordinates of the point of intersection of lines m and n?
e. Write the co-ordinat