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ID: 1 Keystone Algebra 1 Name___________________________________ Writing Linear Equations Date________________ Period____ ©Z W270r1B26 4Kqunt5al uSRowfMt7wlaereeq mLiLxCq.l E eArl4lz WrPitgdhUtiss 1rJetsKerrIvVeHdQ.W Write the slope-intercept form of the equation of each line. 1) 2) 4 4 2 2 −5 −4 −3 −2 −1 0 1 2 3 4 5 −5 −4 −3 −2 −1 0 −2 −2 −4 −4 1 2 3 4 5 Write the slope-intercept form of the equation of each line given the slope and y-intercept. 7 3) Slope = , y-intercept = −3 3 1 4) Slope = − , y-intercept = −1 5 Write the slope-intercept form of the equation of each line. 5) x + y = −4 6) 4 x − 5 y = −5 Write the standard form of the equation of each line. 7) y − 4 = x − 4 8) y − 2 = x − 1 9) 0 = −3 y + 6 + 5 x 10) −10 y + 2 x + 20 = 0 Write the standard form of the equation of the line through the given point with the given slope. 11) through: (2, 2), slope = − 1 3 12) through: (1, −1), slope = − 4 5 Write the point-slope form of the equation of the line through the given point with the given slope. 13) through: (2, −4), slope = 8 ©A d220q1I2B oKcuNtjaW VSLo2fftnwWaRrtez IL4LwCp.F I gAwlalZ SrPi2gFh9tcsR orQe4sxenrgvpeBdB.w S xM7aUdiep swtiTt5h3 GIJnDfLiUnFiTtDeH MAdlJgJefbdrTaE c1T.a 14) through: (2, 4), slope = − -1- 1 4 Worksheet by Kuta Software LLC Write the point-slope form of the equation of the line through the given points. 15) through: (1, −3) and (2, −5) 16) through: (−5, −5) and (2, 0) Write the slope-intercept form of the equation of the line through the given points. 17) through: (1, 5) and (−2, −4) 18) through: (1, 2) and (5, −3) Write the standard form of the equation of the line through the given points. 19) through: (−1, 1) and (0, −3) 20) through: (0, −1) and (−4, −1) Write the standard form of the equation of the line described. 21) through: (4, 4), parallel to y = 5 x+1 4 22) through: (5, 1), parallel to y = 1 x−5 5 Write the slope-intercept form of the equation of the line described. 23) through: (−4, −3), parallel to y = 7 x+2 4 24) through: (5, 4), parallel to y = 3 x 5 Write the point-slope form of the equation of the line described. 25) through: (2, −1), parallel to y = − x 27) through: (−4, 3), perp. to x = 0 26) through: (3, 0), parallel to y = − x + 1 28) through: (4, −1), perp. to y = 4 x−1 5 Write the slope-intercept form of the equation of the line described. 1 29) through: (−2, 1), perp. to y = − x − 1 2 30) through: (2, 0), perp. to y = 2 x−3 5 Write the standard form of the equation of the line described. 5 31) through: (5, −2), perp. to y = − x − 1 2 ©a z2Y0W1z2d aK8ubtwai 9Siolf8t7w7aqrTep eLeLSCp.7 O vAalvlt XrXipg7hnt9sM ErbeLsgeirgvpeTde.L k 2MuagdneE 2woictLhq SIYnvflipnhiktIe0 eAtl4gqePbNriaH 71o.l 32) through: (−1, 1), perp. to y = 3 -2- Worksheet by Kuta Software LLC Answers to Writing Linear Equations (ID: 1) 1) y = 2 x + 5 21) 5 x − 4 y = 4 1 x−4 3 4 6) y = x + 1 5 10) x − 5 y = −10 1 14) y − 4 = − ( x − 2) 4 5 13 18) y = − x + 4 4 22) x − 5 y = 0 25) y + 1 = −( x − 2) 26) y = −( x − 3) 29) y = 2 x + 5 5 30) y = − x + 5 2 5) y = − x − 4 9) 5 x − 3 y = −6 13) y + 4 = 8( x − 2) 17) y = 3 x + 2 2) y = ©K q220n1G2R 1KWu6tcaM vSLoafYtqwEaJrSe8 xLnLjCF.R C mAllklK brJiCgPhytxs6 8r7enshesr2vdeXd6.6 F nMMapdneG 1w7iAtchY zInnZfWilnKiOtWeV YA1lMgleDbar7ah N1h.L 7 x−3 3 7) x − y = 0 1 4) y = − x − 1 5 8) x − y = −1 11) x + 3 y = 8 15) y + 3 = −2( x − 1) 12) 4 x + 5 y = −1 5 16) y + 5 = ( x + 5) 7 20) y = −1 3) y = 19) 4 x + y = −3 7 x+4 4 27) y − 3 = 0 23) y = 31) 2 x − 5 y = 20 -3- 3 x+1 5 5 28) y + 1 = − ( x − 4) 4 32) x = −1 24) y = Worksheet by Kuta Software LLC