3.7 Worksheet - 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. Biologists have found that the number of chirps some crickets make per minute is related to temperature. The relationship is very close to being linear. When the crickets chirped 18 times per minute it was 57 degrees Fahrenheit. When they turned the temperature up to 77 degrees, the crickets chirped 39 times per minute. a) Find the slope and y-intercept in this linear model. b) Using this model, how many times will a cricket chirp when it is 65 degrees Fahrenheit? c) What can the Biologists estimate the temperature to be when a cricket chirps 30 times? 2. Write the equation of the line (in SLOPE-INTERCEPT FORM) of the bisector of the line segment with endpoints 10, 7 and 12,11. 3. Write the equation of the line (in SLOPE-INTERCEPT FORM) of the bisector of the line segment with endpoints 6, 10 and 8, 4. 4. Determine if the quadrilateral ABCD with the following vertex points has opposite sides. A 2, 4 , B 7, 3 , C 6, 6 and D 1,1. 10 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10