
Equations and Vertical Lines.
258715 Forming Equations and Determining Coordinates: Example Problem 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.

Solve system of equations and draw the graphs
X=4
It is the line parallel to yaxis passing through (4, 0)
See RED arrow denoting the line
3x  2y = 10
y = (3x10)/2
X 0 2 4
y 5 2 1
See BLUE arrow denoting the linear function and a positive slope
5
4
3

Graphing Linear Functions and Finding the Point of Intersection
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.

Systems of linear equations
What are the coordinates of the point of intersection of lines m and n?
c. Write the coordinates of the intersections of lines m and n with the xaxis.
d. Write the coordinates of the intersection of lines m and n with the yaxis.

Equations of lines
What are the coordinates of the point of intersection of lines M and N?
c. Write the coordinates of the intersections of lines M and N with the xaxis.
d. Write the coordinates of the intersection of lines M and N with the yaxis.

Vectors and Parametric Equations of Lines
114181 Vectors and Parametric Equations of Lines 2. Find a vector equation and parametric equations for the line.
3. The line through the point (?2, 4, 10) and parallel to the vector (3, 1, ?

Ratio and Proportion /Graph and Analyze Linear Functions
The points (1, 1), (2, 3), (8, 15), (50, 99), and (1000, 1999) all lie on line N.
a.Form the equations of both the lines. Show your work.
b.What are the coordinates of the point of intersection of lines M and N?

Parametric Equations
Hence we have the parametric equations for the line as x=1+3t, y=2t, z=1+t Parametric equations are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

Solving Linear equation by graphical and other methods
Slope of the line M is given by
Line M,passes through (3,9) with slope 2, Equation of M is given by
Similarly slope of line N is
Line N passes through (3,9) with slope 1
Equation of line N will be given by
b.What are the coordinates

Algebra Linear Equations
Write the coordinates of the intersections of lines M and N with the xaxis.
d. Write the coordinates of the intersection of lines M and N with the yaxis. (1) The equation of a horizontal line is of the form y = k, where k is a constant.