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Deffense [45]
3 years ago
14

Write an equation in Point slope intercept form that is parallel to 2x+3y=4 and passes through the point (1,-4)

Mathematics
1 answer:
yulyashka [42]3 years ago
3 0

Answer:

slope - intercept form  

 y = \frac{-2}{3} x -\frac{10}{3}

Step-by-step explanation:

<u><em>Step(i)</em></u>

Given that the equation of the line 2 x+3 y = 4

The equation of the parallel line to the given straight line is

     a x +b y + k=0

The equation of the Parallel line to the given straight line is

   2x+3y+k=0

This line is passes through the point (1,-4)

  2(1) +3(-4)+k=0

⇒ 2-12 +k=0

⇒ -10 +k=0

⇒  k =10

<u><em>Step(ii):-</em></u>

The equation of the parallel line to the given straight line is

2 x + 3y + 10 =0

         3 y = -2x -10

           y = \frac{-2}{3} x -\frac{10}{3}

<u><em>Final answer:-</em></u>

slope - intercept form   y = mx +C

                                    y = \frac{-2}{3} x -\frac{10}{3}

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