Algebra 1 HN Unit 4 Lines Cheat Sheet PDF

Name ___________________________________ Date _____________ Period ___________ Algebra 1 HN Unit 4 Lines Cheat Sheet IN A IN AN IN AN ON A GRAPH GIVEN TWO GIVEN TWO TABLE APPLICATION EQUATION PO...

Name ___________________________________ Date _____________ Period ___________ Algebra 1 HN Unit 4 Lines Cheat Sheet IN A IN AN IN AN ON A GRAPH GIVEN TWO GIVEN TWO TABLE APPLICATION EQUATION POINTS DATA POINTS A baby (1,1) and 4,3) During a snow elephant y = 2x + 3 storm, there weighs 210 at 𝑦2 − 𝑦1 was 7 inches birth and gains 2x + 5y = 12 𝑥2 − 𝑥1 of snow on 28 pounds per the ground 𝑥 week y= after 4 hours 4 and 19.25 inches on the ground after 11 hours. H - Horizontal lines V - Vertical lines O - zero slope U – Undefined slopes Y - Equation of y =# X – Equation of x = # Slope-intercept Form Standard Form Point Slope Form y = mx + b Ax + By = C y − y 1 = m (x − x 1 ) (A,B,C -no decimals or fractions. A is positive) y = 3x − 1 2x + y = −4 2 𝑦 − 3 = − 3 (𝑥 + 4)  Line of Best Fit Enter data into table Type in y1 ~ mx1 + b Find “m” and “b”. Use the Line of Best in desmos Use these values to Fit Equation to make write the Line of best predictions….NOT the fit. data points you entered. Parallel Lines Perpendicular Lines Have the same Can NOT have the Have the opposite CAN have The product of slope same reciprocal slopes the same y- their slope is y-intercept intercept -1 Write equation of Write equation of line that is parallel line that is to the line perpendicular line y = 3x + 4 y = 3x + 4 Write equation of Write equation of line that is parallel line that is to the line perpendicular to y = 3x + 4, but the line passes through y = 3x + 4, but point ( 1,2) passes through point ( 1,2) Special cases Horizontal Lines Vertical Lines Parallel to: Parallel to: y=5 x=4 Perpendicular to: Perpendicular to: y=5 x=4 Speed = 0 Zero slope Fell off a cliff = Undefined slope