1.Can you show that, given two equations y = m1x + c1 and y = m2x + c2 where c1 and c2 are different, there is no solution if m1 = m2. Interpret this result graphically. Also show that if c1 = c2 then there will be at least one solution no matter what m1 and m2 are. Interpret this result on a graph.

2.In your reading you have come across two other methods to solve systems of equations aside from the graphing method. Explain these two methods. Provide examples using a system of linear equations of your choice. State your preference of these two methods.

3.Explain in your own words your understanding of the concept of slope as it relates to graphs of linear equations. Illustrate with examples. Also include in your explanation the use of slopes to determine parallel and perpendicular lines.

Solution Summary

This discusses methods of solving systems of equations and graphing.

... Are the graphs of the given equations parallel. The slope of line 2x+6=y is 2. The slope of line 2y=4x-5 is also 2. Since slopes are equal so lines are parallel ...

... 4. What is the equation in slope-intercept form) of the line that goes through (-1,2) and has slope 4? ... This is the equation in the slope intercept form. ...

... Keep this in mind for this question. That parallel lines have equal slope and the product of slopes of perpendicular. lines is equal to -1. Equation 1 ...

... not parallel since their slopes are not equal. 14 For the line passing through the points (2, 0) and (5,3), write the equation of the line in: Slope of line ...

... Thanks. 1. Equations of Lines in Slope-Intercept Form. Find the slope and y-intercept for each line. ...Equations of Lines in Slope-Intercept Form. ...

... two straight lines to find the solution, c) finding the x- and y-intercepts given the equation, d) writing the equation of a linear given the slope and a point ...