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 ...

... is 5. Equation 2 -- 2y = 7 - x. So slope is -1/2. Slope of equation 1 * slope of equation 2 = 5 * -1/2 = -5/2. So, if we now multiply both the slopes we do not ...

... 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. ...

... Question 2) The slopes of perpendicular lines can be found ... equal to the negative reciprocal of the slope of the ... Consider the following two equations: y=3*x+5 y ...

Finding the Slope and Intercept in Linear Equations. 1. A server purchased at a cost of $55,000 in 2002 has a scrap value of $10,000 at the end of 5 years. ...