Algebra 2

Algebra 21Algebra 2LINES

1Algebra 22LinesTable of Contents(3-4) Forms of a Line(5-6) Graphing lines and Slope(7) Formulas(8-9) Facts(10) Graph/Applications(11) Conclusion(12) Table Vocab.(13) Photograph (random)(14) Quadrants(15) Visual Parallel lines2Algebra 23LinesThe Standard Form of a line is Ax+By=CNote: A is a whole number and both A&B are not both equal to zero.

The Slope-Intercept Form is y=mx+bNote: m is the slope and b is the y-intercept

Algebra 24LinesSlope:

In Standard Form, the slope of a line is A/B

In Slope-intercept form, the slope is m

A horizontal line has a slope of zeroA vertical line has slope undefinedAlgebra 25LinesGraphing a line using the slope and a point

We first plot our pointthen if the slope is positive, we go up and to the right or negative we go down and to the right.

Algebra 26Lines

Positive slopeNegative slope6Positive slope and negative slope on the x/y coordinate planeAlgebra 27LinesFormulas:1.Slope-Intercept form when you are given a point (x1,y1) and a slopePoint-Slope: (y-y1)=m(x-x1)

2.Slope of a line when you are given two ordered pairs:(y2-y1)/(x2-x1)

Algebra 28LinesFacts:1. We only need two points to make a line2. We only need one point and the slope to make a line3. There are an infinite amount of points in a line4. Parallel lines have the same slope and different y-interceptsAlgebra 29LinesDomain: Set of nonrepeating x-values { }Range: Set of nonrepeating y-values { }

Algebra 210LinesReal-World Application of LinesA cab company charges a $3 boarding rate in addition to its meter which is $2 for every mile. What is the equation of the line that represents this cab company's rate?

Algebra 211LinesOne final point (pun):

A line is a straight curveA line that intersects with a circle at one point, and the radius also shares that one point is called a point of tangency. (a right angle is formed)Tangency is studied in curves in CalculusLinesLINESSTRAIGHT POINTSGRAPHEQUATIONSX-INTERCEPTY-INTERCEPTSLOPEPOINT-SLOPE FORMSLOPE-INT. FORMSTANDARD FORMCOEFFICIENTSCONSTANTSVARIABLESPLANESNUMBERSAlgebra 212LinesAlgebra 213

LinesAlgebra 214LinesParallel linesAlgebra 215