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Equation of Lines and Modeling

Select and graph a point (with coordinates) in the x-y plane, not on the x- or y-axis; then,

(a) Graph the line that passes through the selected point and is parallel to the x-axis.
(b) Write the equation of the line drawn in Part (a)
(c) What is the slope of the line drawn in Part (a)?
(d) Graph the line that passes through the selected point and is perpendicular to the x-axis.
(e) Write the equation of the line drawn in Part (d)
(f) What is the slope of the line in Part (d)?
(g) Graph the line that passes through the selected point and the origin, point (0, 0).
(h) Write the equation of the line drawn in Part (g).
(i) What is the slope of the line drawn in Part (g)?
(j) Find the equation of the circle that is centered at the selected point and passes through the origin.
(k) Find the x-intercepts and the y-intercepts of the circle.

Solution Preview

Please see attachment for graph.

(a) the point is (-1,-1)
(b) the equation of ...

Solution Summary

The solution discusses the equation of lines and modeling. An equation is used to draw a line.

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