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(The slope problem is in the image.)

(The slope problem is in the image.)-example-1

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Answer:


\sf 2x+5y= -14

given equation:


\sf -2x = 5y +4

rewrite in slope intercept form: y = mx + b


\hookrightarrow \sf -5y= 2x +4


\hookrightarrow \sf y= (2x +4)/(-5)


\hookrightarrow \sf y= -(2)/(5) x-(4)/(5)

  • from this we can determine that the slope is
    \sf -(2)/(5)
  • as the line is parallel, the slope will be the same.

using the equation:


\sf y - y1 = m(x-x1)


\hookrightarrow \sf y - -4= -(2)/(5)(x-3)


\hookrightarrow \sf y +4= \sf -(2)/(5)(x-3)


\hookrightarrow \sf y +4= \sf -(2)/(5)x +(6)/(5)


\hookrightarrow \sf y= \sf -(2)/(5)x +(6)/(5) -4


\hookrightarrow \sf y= \sf -(2)/(5)x -(14)/(5)


\hookrightarrow \sf y= \sf (-2x-14)/(5)


\hookrightarrow \sf 5y= \sf -2x-14}


\hookrightarrow \sf 2x+5y= \sf -14

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