Grade 10 Academic (MPM2D) Unit 1: Linear System Slope and Linear Relations Mr. Choi © 2016 E. Choi – MPM2D - All Rights Reserved

Slope and Linear Relations The slope of a line, m, is a measure of how steep a line is The greater the magnitude of m, the steeper the line.   A line with positive slope rises to the right, while a line with a negative slope falls to the right. Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Equation of Line (Two forms) Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 1: Determine the slope of AB where A(4, -13) and B(-5, 5) Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 2: Determine the intercepts, slope and make a sketch of each of the following: Given Standard Form of a line!! Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 2: Continued Determine the intercepts, slope and make a sketch of each of the following: Given Slope-Intercept Form of a line!! Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 2: Continued Determine the intercepts, slope and make a sketch of each of the following: Given Standard form of a line!! Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 2: Continued Determine the intercepts, slope and make a sketch of each of the following: Given Slope Intercept form or Standard form of a line!! Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 2: Continued Graphs of Example 2 Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 3: Determine the equation of the line that has a slope of 2 and passes through (-2, 5). Sketch the line. (Standard form and Slope-Intercept form) Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 4: Determine the equation of the line that passes through (2, 6) and (-1, 7). (Standard form and Slope-Intercept form) Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 5: Write an equation for the line that is: a) Example 5: Write an equation for the line that is: a) Parallel to y = 5 and passes through (-1, 2) . y = 5 is a horizontal line Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Parallel to y – axis is a vertical line Example 5: Continued Write an equation for the line that is: b) Parallel to y-axis and passes through (1, -2). Parallel to y – axis is a vertical line Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Example 5: Continued Write an equation for the line that is: c) Perpendicular to and passes through (1, -1) Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

Homework Worksheet Review Linear Relations (Odd #) or (All) if no text book given out yet!! Text: P. 26 1odd, 2cc, 4odd, 5odd, 6 P. 28 #1-6 Check the website for updates Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved

End of lesson Slope and Linear Relations © 2016 E. Choi – MPM2D - All Rights Reserved