# Algebra Linear Equations and Systems of Equations

 Slope of a line m=y2-y1/x2-x1 Postive slope Goes up hill Negative Slope Goes down hill Slope of Zero A flat, horizontal line Undefined Slope Vertical, straight up and down Intercept Where something crosses Find the slope between the points (0,2) and (4,6) m=y2-y1/x2-x1m=6-2/4-0m= 4/4m=1 Y-intercept is where the line crosses the ________. y-axis Slope-intercept form y=mx+b Point is (x,y)Slope is my-intercept is (0,b) and it must be a point! Standard form Ax+By=CA, B, and C are integers From slope-intercerpt to standard form, you _______ Make b alone, then multiply the whole equation to make them all integers x-intercept is where the line crosses the x-axis and is easiest to be found in ______. Standard form, just fill in 0 for y and solve! Point-slope form y-y1=m(x-x1) Point slope states a ____ it goes through. Point Point-slope simplified is __________ Slope-intercept A system of Equations is a solution of two equations, where two lines meet. True The three ways to find systems of equations are __________. graphing, substitution, and elimination. To graph an inequality, ___________ Solve as normal, but you dot a line that isn't equal to and remember to shade by picking a point and see if it works. A system of inequalities is solved by putting an S or an A in the shaded section of both. To solve graphically, ________________ Graph both equations, showing all work, and find the point in which they cross. When should you use the graphing method? When both equations are already in y=mx+b. To solve using the substitution method, ________________ 1. Solve one equation in x= or y=2. Plug into other equation3. Solve for both variables by plugging in after solved4. Check using the original equation When should you use the substitution method? When one equation is already in y= or x=, or can easily get there like y+2x=6 To solve using the elimination method, ________________ 1. Solve for one variable by cancelling out.2. Solve for the variable3. Solve for the other variable by plugging in after solved4. Check using the original equation When should you use the elimination method? When they are in standard form and can be multiplied all the way across to cancel the other one out. For word problems, just write two equations and you can solve it and get the right answer, as long as you do the correct math. Okay AuthorMoonRacer ID56860 Card SetAlgebra Linear Equations and Systems of Equations DescriptionReview of Linear Equations and System of Equations in Algebra Updated2011-05-17T20:19:04Z Show Answers