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### 15 Cards in this Set

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 Definition: Linear equation in two variables Any equation that can be written in the form ax+by=c, a,b,c€R and both a,b do not =0 What is the relationship between the solutions to a linear equation in two variables and the graph on the equation? There are an infinite number of solutions, but not any pair will work. Only specific ones will. x-intercept Where the line crosses the x-axis. The form of the poing will always be (x,0), where x is the crossing point. y-intercept Where the line crosses the y-axis. The form of the point will always be (0,y) where y is the crossing point. Horizontal line Can be written in the form y=a, where a€R (no x-intercept) Vertical line Can be written in the form x=a, where a€R (no y-intercept) Line throught the origin can be written in the form ax+by=0 where a,b€R. (the x/y-intercept is the same point, specifically the origin) Slope m=Δy/Δx=y2-y1/x2-x1 where (x1,y1) and (x2,y2) are points on the line Four types of slope positive-m>0 negative-m<0 zero slope-m=0, horizontal line undefined slope, vertical line Parallel line The slopes of the two lines are the same Perpendicular lines The slopes of two lines are negative reciprocals of each other. Forms of linear equations (4) Vertical line Horizontal line Standard form Slope-Intercept form Point-Slope form Standard form Ax+By=C, A>=0, A,B,C€Z m=-A/B Slope-Intercept form y=mx+b m=slope, y-intercept (0,b) Point-Slope form y-y₁=m(x-x₁) , (x₁,y₁) is a point on the line, m= slope