For Math 1009 class in ULM use only, these notes are not to be used without written permission of editors - Liu,Ji,Morris. 2.4 Slope and Forms of Linear Equations Objectives: Find the slope of a line passing through two given points using Slope Formula and understand the meaning of slope. Find the Slope-Intercept Form of a line. Find the slope and y-intercept of a line by expressing it in slope-intercept form. Slope of line is a measure of its steepness. We use to indicate slope. When we know a non-vertical line passes through two points (1, 1) and (2, 2), the slope of the line is: = = = . Note: A horizontal line has a slope = 0; A Vertical line has an Undefined slope. Problem Type 1: Fine the slope of the line passing through the given points. (1) (4, 12) and (1, 7) (2) (3, 4) and (3, 7) (3) (5, 9) and (8, 9) In slope-intercept form = + , is the slope of the line, and the point (0, ) is the - intercept; (, ) represents any point on the line. Ahorizontallinehastheform =#,since =. A vertical line has the form = # ; . It cannot be written in slope-intercept form. For Math 1009 class in ULM use only, these notes are not to be used without written permission of editors - Liu,Ji,Morris. Problem Type 2: (1) Find equation of the line in slope-intercept form that passes through the points (8, 0) and (11, 9) (2) Find equation of the line in slope-intercept form passes through the following point with the given slope. Point (0, 3); slope = 7. Problem Type 3: (1) Express the given equation in slope-intercept form and find its slope. 5 = 7 For Math 1009 class in ULM use only, these notes are not to be used without written permission of editors - Liu,Ji,Morris. (2) Express the given equation in slope-intercept form and find its slope. 4 3 = 1 Problem Type 4: (1) Consider the following equation. 4 3 = 1 a) Given = 2, determine the value for . Answer: = Given = 1, determine the value for . Answer: = Graph the line represented by the equation. b) c) For Math 1009 class in ULM use only, these notes are not to be used without written permission of editors - Liu,Ji,Morris. Now, pause the video and practice the question below. Consider the linear equation 4 + 4 52 = 0. a) Express the given equation in slope-intercept form. b) Plot the point on the plane with the -coordinate = 9 Answer: = a) Plot the point on the plane with the -coordinate = 5 Answer: = b) Graph