Understanding Equations of Lines in the Coordinate Plane
Learn about the concept of slope in lines and how to find the slope of various lines in the coordinate plane. Explore forms of linear equations like slope-intercept form and point-slope form. Practice graphing lines and writing equations with different parameters such as slope and y-intercept.
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Presentation Transcript
3-7 Equations of Lines in the Coordinate Plane
SLOPE Definition: the slope of m of a line is the ratio of the vertical change (rise) to the horizontal change (run) between any two points. Symbols: A line contains the points ?1,?1??? ?2,?2 ? =???? ?2 ?1 ???=?2 ?1
Problem 1: Finding Slopes of Lines What is the slope of line b?
Problem 1: Finding Slopes of Lines What is the slope of line d?
Problem 1: Finding Slopes of Lines What is the slope of line a?
Problem 1: Finding Slopes of Lines What is the slope of line c?
3-7 Equations of Lines in the Coordinate Plane Continued
Forms of Linear Equations Slope-intercept form: ? = ?? + ? m is the slope b is the y-intercept
Forms of Linear Equations Point-Slope Corm ? ??= ?(? ??) m is the slope (?1,?1) is a point on the line
Problem 2: Graphing Lines What is the graph of ? =2 3? + 1
Problem 2: Graphing Lines What is the graph of ? 3 = 2(? + 3)
Problem 3: Writing Equations of Lines What is an equation of the line with slope 3 and y-intercept 5
Problem 3: Writing Equations of Lines What is an equation of the line through ( 1,5) with slope 2?
Problem 4: Using 2 points to Write an Equation What is an equation of the line?
Problem 5: Writing Equations of Horizontal and Vertical Lines What are the equations for the horizontal and vertical lines through (2,4)?
