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.

Equations and lines. ... I have included step-by-step. This provides examples of writing equations of lines, and creating an equation for a word problem. ...

... 800 m1 = 70 − 67 So y = 800x + b Then plug x = 70 and y = 12400 12400 = 800 * 70 +b, so b = -43600 Then the equation of line segment is y = 800x 43600. ...

Find an equation in slope-intercept form (where possible) for each line. ... The solution explains how to find the line equation in slope-intercept form in detail. ...

... The equation 2x - 5y = 8 is the equation of a line. You can rearrange ... The equation 2x - 5y = 8 is the equation of a line. You can rearrange ...

... 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. ...

... 19. Find the slope-intercept equation of the line that has the given characteristics. ... So we write the line equations in the standard format. ...