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Equations and Vertical Lines.
258715 Forming Equations and Determining Co-ordinates: 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.
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Solve system of equations and draw the graphs
X=4
It is the line parallel to y-axis passing through (4, 0)
See RED arrow denoting the line
3x - 2y = 10
y = (3x-10)/2
X 0 2 4
y -5 -2 -1
See BLUE arrow denoting the linear function and a positive slope
5
4
3
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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.
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Systems of linear equations
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.
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Equations of lines
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.
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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, ?
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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 co-ordinates of the point of intersection of lines M and N?
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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 co-ordinates
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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.
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Algebra- Linear Equations
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. (1) The equation of a horizontal line is of the form y = k, where k is a constant.