2. Plot a point at. Then go 1 unit up and 3 units to the right. This point is. Draw a line throughthese two points.3. Plot a point at. Then go 2 units down and 5 units to the right. This point is. Draw a linethrough these two points.4. Plot a point at. There is no rise in this equation’s graph. This implies the slope is 0 and is ahorizontal line at.
10/3/2016Do you think you’re ready to start the lesson?...7/85. Plot a point at. There is no run in this equation’s graph. This implies the slope is undefined and is avertical line atx= 2.Comparing the Characteristics of Parallel and Perpendicular LinesThe following table is a summary of the characteristics you would observe when you graph lines that are either parallel or perpendicular.Parallel linesPerpendicular lineseverywhere equidistantintersect at right anglesame slopeslope that are negative reciprocals of each otherFor example, consider an equation such asy= 2x+ 3. One line parallel to this line would bey= 2x+ 5. Note that the coefficient ofxis 2 forboth, since parallel lines have the same slope, but have differentyintercepts.A graph of these two equations is shown below.Given the same equation, one line perpendicular to this line would be. Note that the slopes (the coefficient ofx) ofthe lines are 2 and. The first slope is 2 and the second is the reciprocal of 2 with the opposite sign, giving. To obtain the slope of aline perpendicular to, find the negative reciprocal of them, which is. A graph of these two equations is shown below.
10/3/2016Do you think you’re ready to start the lesson?...8/8©; 2015 Connections Education LLC.