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Nesterboy [21]
2 years ago
12

Jan 258:00:56 AM

Mathematics
1 answer:
horsena [70]2 years ago
8 0

Answer:

The equation of the straight line in point-slope form

                            y - 4 = \frac{7}{9}  (x-0)

The equation of the straight line

                         7x -9y +36 =0

Step-by-step explanation:

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

Given that the points (0,4) and (-9,-3)

The slope of the line

         m = \frac{y_{2} - y_{1} }{x_{2}- x_{1}  } = \frac{-3-4}{-9-0} = \frac{7}{9}

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

    Equation of the straight line passing through the point (0,4) and having slope m = 7/9

          y - y_{1} = m (x-x_{1} )

         y - 4 = \frac{7}{9}  (x-0)

      9 y - 36 = 7x

              9y = 7x + 36

          y = \frac{7x}{9} +\frac{36}{9}

Slope - intercept form  

                            y = \frac{7x}{9} +4

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

The equation of the straight line in point-slope form

                            y - 4 = \frac{7}{9}  (x-0)

The equation of the straight line

                         7x -9y +36 =0

           

   

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