transform the following equation √3x+y+10=0 into 1)normal form,2)intercept form and 3)slope intercept form​

Question

transform the following equation √3x+y+10=0 into 1)normal form,2)intercept form and 3)slope intercept form​

in progress 0
Everleigh 1 week 2021-09-09T17:19:32+00:00 1 Answer 0 views 0

Answers ( )

    0
    2021-09-09T17:21:08+00:00

    SOLUTION

    TO DETERMINE

    To transform the following equation √3x+y+10=0 into

    1)normal form

    2)intercept form

    3)slope intercept form

    CONCEPT TO BE IMPLEMENTED

    General form

    The general form of any line is ax + by = c

    Normal form

     \sf{x \cos  \alpha  + y \sin  \alpha  = p}

    Slope Intercept form

    y = mx + c

    Intercept form

     \displaystyle \sf{ \frac{x}{a} +  \frac{y}{b}   = 1}

    EVALUATION

    Here the given equation of the line is

     \sf{  \sqrt{3}x + y + 10 = 0  }

    1. Normal form

    Here the given equation of the line is

     \sf{  \sqrt{3}x + y + 10 = 0  }

    The given equation of the line can be rewritten as

    \displaystyle \sf{ -  \frac{ \sqrt{3} x}{ \sqrt{3 + 1} }   -   \frac{y}{ \sqrt{3 + 1} }  =  \frac{10}{ \sqrt{3 + 1} } }

     \displaystyle \sf{  \implies \:  - \frac{ \sqrt{3} }{2 }x   -   \frac{y}{2}  =  5 }

     \displaystyle \sf{  \implies \:   x   \cos  \frac{7\pi}{6}   +  y \sin  \frac{7\pi}{6}   =  5 }

    Which is of the form

     \sf{x \cos  \alpha  + y \sin  \alpha  = p}

    2. Intercept form

    Here the given equation of the line is

     \sf{  \sqrt{3}x + y + 10 = 0  }

    Which can be rewritten as

     \displaystyle \sf{  \implies \frac{x}{\displaystyle \sf{  -  \frac{10}{ \sqrt{3} } } } +  \frac{y}{ - 10}  = 1 }

    Which is of the intercept form

    3. Slope intercept form

    Here the given equation of the line is

     \sf{  \sqrt{3}x + y + 10 = 0  }

    Which can be rewritten as

     \sf{y =  -  \sqrt{3} x - 10}

    Which is of the intercept form

    ━━━━━━━━━━━━━━━━

    Learn more from Brainly :-

    1. Linear equation ax+by=c in the form of y= mx+b 1.3x+4y=8 2.16x+9y=40 3.10x+3y=2

    https://brainly.in/question/27747324

    2. Find the equation of straight line passing through the point (-4,5) and making equal intercepts on the coordinate axis.

    https://brainly.in/question/25257443

Leave an answer

Browse
Browse

18:9+8+9*3-7:3-1*13 = ? ( )