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Writing Equation of a Line Formative Assessment Tool Name: _____________________________ Date: _____________ Class: _________ Part 1: Writing equation given slope & y-intercept (STATIONS 1 & 2) Directions: Write the equation in slope-intercept form of the line described in each scenario. SHOW ALL WORK TO RECEIVE CREDIT!! 1.) Kim is saving money to buy an I Phone. She makes $8 per hour babysitting. She has saved $25 so far. Write the equation to solve for her total earnings in terms of how many hours she works. Rate of change (slope): _______________ equation: ____________________ 2.) m = -1; b = (0, -6) equation: _________________ 3.) m = 2/3; b = (0, 4) equation: _________________ 4.) m = 0; b = (0, -5) equation: _________________ 5.) m = 4; b = (0, 15) equation: _________________ 6.) m = -1/6; b = (0, 6) equation: _________________ Part 2: Writing equation given point & slope (STATIONS 3 & 6 & 8) Directions: Write the equation in slope-intercept form of the line described in each scenario. SHOW ALL WORK TO RECEIVE CREDIT!! 7.) The line with slope 2 passing through the point (4, 3) equation: _______________ 8.) The line with slope zero passing through the point (-5, 5) equation: _______________ 9.) The line with slope ½ passing through the point (-6, 3) equation: _______________ 10.) The line with slope 7 passing through the point (-8, -4) equation: _______________ 11.) The line with slope -3 passing through the point (-6, -2) equation: _______________ 12.) The line with slope 4/5 passing through the point (2, 5) equation: _______________ Part 3: Writing equation given 2 points (STATIONS 4 & 5) Directions: Write the equation in slope-intercept form of the line described in each scenario. SHOW ALL WORK TO RECEIVE CREDIT!! 13.) (-1, 7) (4, -3) equation: ____________________ 14.) (-3, 5) (-3, -6) equation: ____________________ 15.) (7, 2) (-7, 2) equation: ____________________ 16.) (2, 5) (-8, 15) equation: ____________________ 17.) (8, 4) (-10, -5) equation: ____________________ 18.) (-1, -3) (4, -2) equation: ____________________ Part 4: Writing equation given arithmetic sequence (STATION 9) Write the equation in BOTH slope-intercept and standard form for each arithmetic sequence. SHOW ALL WORK TO RECEIVE CREDIT!! 19.) -10, -7, -5, -2, 1, 4… slope-intercept: _______________ 20.) 12, 17, 22, 27, 32… slope-intercept: _______________ standard: _______________ standard: _______________ 21.) 10, 6, 2, -2, -6, -10… slope-intercept: _______________ 22.) -26, -20, -14, -8, -2, 4… slope-intercept: _______________ standard: _______________ standard: _______________ 23.) 14, 16, 18, 20, 22, 24… slope-intercept: _______________ 24.) 19, 18, 17, 16, 15… slope-intercept: _______________ standard: _______________ standard: _______________ Part 5: Writing equation of parallel lines (STATION 10) SHOW ALL WORK TO RECEIVE CREDIT!! 25.) If two lines do not intersect and are in the same plane, then they must be _________. 26.) Find the slope of a line parallel to the line that passes through the points (-2, 0) and (0, 4). 27.) Find the equation of the line that has a y-intercept of 6 and is parallel to y 28.) Find the equation of the line that passes through (3, -2) and is parallel to y A. y 2 2 2 x 4 B. y x 2 C. y x 3 3 3 3 D. y 1 x2? 2 2 x? 3 2 x 3 29.) Find the equation of a line parallel to 4 y 8 3 x and goes through the point (5, 1) 30.) A line k has equation y what is the equation of line i? 2 x 1 . If k is parallel to line i and line i passes through point (4, 1), 3 Part 6: Writing equation of perpendicular lines (STATION 11) SHOW ALL WORK TO RECEIVE CREDIT!! 31.) Find the slope of a line perpendicular to the line that passes through the points (5, 2) and (8, -1). 32.) Write the equation of a line that is perpendicular to y 2 1 x and passes through the point 5 3 (-5, -3)? 33.) Which of the following is an equation of a line perpendicular to y x 1 ? A. y 3 x B. 2 y 3 x C. x y 3 D. x y 3 34.) Line j goes through the point (-7, 5) and is perpendicular to 2x – 3y = -18. Find the equation of line j. 35.) Which is the slope of a line perpendicular to the line y 2 x 6 ? A. 2 B. 1 2 C. 1 2 D. -6 E. 1 6 36.) Which lines are perpendicular? 1 x6 2 A. 1 y x 1 2 y y 3x 1 B. y 3x 1 2 x3 3 D. 3 y x 1 2 y 2x C. 1 y x 2 y 37.) Which of the following statements are true about lines w, n, p, and z? w: y A. I only 3 x2 2 I. w p B. II only n: y 2 x6 3 3 p: y x 3 2 II. n z C. III only D. I and II z: y III. z p E. II and III 2 x 1 3