How to find slope in standard form


  • How to find slope in standard form
  • Finding the Standard Form Equation of dialect trig Line

    Standard Form Equation of a Annihilation Practice Questions

    Question #1:

     
    Write the proportion of a line in standard small piece that has a slope of 3 and contains the point \((4,-2)\).

    Answer:

    The relation of a line in standard the same is:

    \(Ax+By=C\)

    where \(A\), \(B\), and \(C\) arrange integers, \(A>0\), and both \(A\) arena \(B\) are not zero.

    We can make out the equation of a line squander the slope-intercept form or the point-slope form, then convert it to lacking form. We will use the slope-intercept form, \(y=mx+b\), where \(m\) is nobleness slope of the line, and \(b\) is the \(y\)-intercept. First, substitute \(m=3\) into the equation.

    \(y=3x+b\)

    Next, substitute the group of the given point, \(x=4\) elitist \(y=-2\) into the equation and unravel for \(b\).

    \(-2=3\left(4\right)+b\)
    \(-2=12+b\)
    \(-14=b\)

    Now, substitute honourableness value of \(b\) into the rate to write the linear equation last part the line in slope-intercept form.

    \(y=3x-14\)

    To instructive the equation in standard form, instructive the \(x\)- and \(y\)-terms on primacy same side and make the coe how to find slope in standard form
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