Presentation on theme: "Gold Day – 2/18/2015 Blue Day – 2/19/2015"— Presentation transcript:
1Gold Day – 2/18/2015 Blue Day – 2/19/2015 Linear Functions
2Bell Ringer Label the Parts of the linear equation y is ________________m is _______________x is _______________b is _______________
3Agenda & News Unit 5 – Linear functions and Applications Review – slope, slope intercept form
4Reminders Slope is represented by the letter m Slope is equal to the rise divided runm
5Reminders- Slope-intercept form Slope-intercept form is the equation of a line.y-interceptWhere the line we are graphing crosses the y-axisDependent variableIt is also our y-coordinateSlopeRate of changeRise over runIndependent variableIt is also our x-coordinate
6Check point In the equations, determine the slope and the y-intercept y=2x+1m=_________ b=_________y=5x+8y=-½x+2
7Linear Functions Definition My Definition Facts/characteristics ExamplesNon-examplesA function is a linear function if the rate of change is the constant between 2 sets of points.The graph of a linear function is ALWAYS a straight line.If a function has the same slopethroughout it is a linearfunctionVocabulary Word:Linear FunctionxY39616xY-51-47-311
8Linear/Non-linear Practice Are the following linear or non-linear?1st check the rate of change/slopeOOPS! Ms. Rodriguez, I forgot the equation for slope.y2 – y1x2 – x1Here it is!! Write it down!!m=1.2.
9Linear/Non-linear Practice 3.Hint: Remember Function Machines here.You have to find out this first. Then check the slope. (Remember: f(x) is the same as y.)
12x–intercept x-intercept The point where the graph crosses the x-axis. x-intercepts happen when the y-coordinate is zero.To find the x-intercept from an equation, replace y [or f(x)] with 0 and solve for x.
13y–intercept y-intercept The point where the graph crosses the y-axis. x-intercepts happen when the x-coordinate is zero.To find the x-intercept from an equation, replace x with 0 and solve for y or f(x).