3.7 Notes: Equations of Lines PDF

3.7 Notes: Equations of Lines Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal...

3.7 Notes: Equations of Lines Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Forms of Linear Equations y = mx + b Slope-intercept form of a linear equation The slope is m, and the y-intercept point is (0, b). y – y1 = m(x – x1) Point-slope form of a linear equation The slope is m, and (x1, y1) is a point on the line. Ax + By = c Standard form of a linear equation A and B are not both 0. y=c Horizontal line: The slope is 0, and the y-intercept point is (0, c). x=c Vertical line: The slope is undefined, and the x-intercept point is (c, 0).  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Write an equation of the line with y-intercept point (0, –3) and slope of 1/4 Fmx b 1 4 43  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines 1 Graph y= x−3 4 Notes: _________________ Point at the end ________________________ 7 then follow slope ________________________ ________________________ Make a line as big as ________________________ possible ________________________ ________________________  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Graph 2 x + 3 y = 12 T M 13 ooo I Es 4 Find slope Notes: _________________ ________________________ Find B y intercept ________________________ Plot B ________________________ ________________________ ________________________ ________________________  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Find an equation of the line with slope –3 containing the point (1, –5). Write the equation in slope-intercept form, y = mx + b. Notes: _________________ enter into 5 3 1 b point ________________________ equation and slope S 5th ________________________ ________________________ 2 b ________________________ 3 2 ________________________ y ________________________  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Find an equation of the line through points (4, 0) and (–4, –5). Write the equation in slope-intercept form, y = mx + b. Use points to Notes: _________________ ________________________ find slope se ________________________ ________________________ ________________________ ________________________ ________________________ 14 d0 b 0 EI 82 3 9 2 3  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Write the equation of the line graphed. Write the equation in standard form. 1,2 Ax By C 5 7135 6 5 9th Calculate slope Notes: _________________ m b ________________________ and b ________________________ ________________________ y Ex ________________________ ________________________ 4y 3x 11 staff ________________________ 144 3 49  c Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Find an equation of a horizontal line containing the point (2, 3). 3 y 0 Point s will Notes: _________________ ________________________ all result in the ________________________ same answer ________________________ ________________________ ________________________ ________________________  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Find an equation of the line containing the point (2, 3) with undefined slope. a number Notes: _________________ ________________________ number will not change ________________________ ________________________ ________________________ ________________________ ________________________  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Find an equation of the line containing the point 0 (4, 4) and parallel to the line 2x + 3y = –6. Write the equation in standard form. m 13 3 y MXtb 4 3,4 b Notes: _________________ Slope use point ________________________ 4 83 5 ________________________ ________________________ 203 b ________________________ ________________________ 6 2 8 ________________________ 20 39 23 2 38 2 1  Learning Target: Use the Slope-Intercept and Point-Slope form, Write and find equations of vertical, horizontal, parallel and perpendicular lines Find an equation of the line containing the point (4, 4) and perpendicular to the line 2x + 3y = –6. Write the equation in slope-intercept form. Notes: _________________ ________________________ ________________________ ________________________ ________________________ ________________________ ________________________ 1. In 1970, there were 160 African American women in elected public office in the United States. By 1993, that number had increased to 2332. Assuming this model is linear, use these facts to answer the following questions: a) Find the slope and y-intercept in this linear model. b) Using this model, how many women will there be in elected office in 2010? c) What year will the United States see approximately 5824 elected African American women? 2. Write the equation of the line (in SLOPE-INTERCEPT FORM) of the bisector of the line segment with endpoints 4,5 and 2, 3. 3. Determine if the quadrilateral ABCD with the following vertex points has opposite sides. A 1, 4 , B 13,9 , C 16,5 and D 4,0. 10 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10