Linear Functions and Graphs

Key Questions

  • This is a linear equation. A linear equation is the representation of straight line.

    This particular equation is called slope intercept form.

    The #m# in the formula is the slope.

    The #b# in the formula is where the line intersects the #y#-axis is this called the #y#-intercept.

  • A linear function models a straight line that has a constant slope or rate of change.

    There are various forms of linear equations.

    Standard Form

    #Ax+By=C#

    where #A, B and C# are real numbers.

    Slope Intercept Form

    #y=mx+b#

    where #m# is the slope and #b# is the #y#-intercept

    Point Slope Form

    #(y-y_1)=m(x-x_1)#

    where #(x_1,y_1)# is any point on the line and #m# is the slope.

Questions