Graphing Equations & Equations of Lines. Lesson 13.1 & 13.2. Strategies to Graph a Line. Make a table. Special lines Vertical lines Horizontal Lines Intercepts (x, 0) & (0, y) Slope-intercept form. Make a Table & Graph 2x – 4y = 10. -3. - 5 / 2. -2. - 3 / 2. - PowerPoint PPT Presentation
Text of Graphing Equations & Equations of Lines
Graphing Equations & Equations of Lines
Graphing Equations & Equations of LinesLesson 13.1 & 13.2
Strategies to Graph a LineMake a table.Special linesVertical linesHorizontal LinesIntercepts (x, 0) & (0, y)Slope-intercept form
Make a Table & Graph 2x 4y = 10x-1012y-3-5/2-2-3/2
Special lines:Graph y = 4 & x = -2
y = 4 is a horizontal line where all the y values are 4.x = -2 is a vertical line where all of the x values are -2.
InterceptsFind the x- and y- intercepts for the line 2x 5y = 10, then graph.X intercept:What is x when y is zero?2x 5(0) = 10x = 5 . (5, 0)
Y-intercept:What is y when x is zero?2(0) 5y = 10y = -2 (0, -2)
Use Slope-Intercept Form to Graph the Line y = 2x - 5.y = mx + by & x are any point (x, y) that line on the line.m is the slopeb is the y-intercept (0, b)In the equation y = 2x 5,m = 2b = (0, -5)Graph the y-interceptGraph the slopeConnect the dots.
Various Forms of Linear EquationsSlope-Intercept Form (y-form)y = mx + b
Point-Slope Formy y1 = m(x x1)m = slope and (x1, y1) is a known point
Standard Form (General Form)Ax + By = C
Things NOT to Forget about Linear EquationsParallel Lines have the SAME slope but different y-intercepts.Perpendicular lines have slopes that are negative reciprocals.Vertical lines have a slope that is undefined.Horizontal lines have a slope of zero.Midpoint between two points is found using the formula: x1 + x2 , y1 + y2 2 2