Answer:
[tex]\sf 2x+5y= -14[/tex]
given equation:
[tex]\sf -2x = 5y +4[/tex]
rewrite in slope intercept form: y = mx + b
[tex]\hookrightarrow \sf -5y= 2x +4[/tex]
[tex]\hookrightarrow \sf y= \dfrac{2x +4}{-5}[/tex]
[tex]\hookrightarrow \sf y= -\dfrac{2}{5} x-\dfrac{4}{5}[/tex]
- from this we can determine that the slope is [tex]\sf -\frac{2}{5}[/tex]
- as the line is parallel, the slope will be the same.
using the equation:
[tex]\sf y - y1 = m(x-x1)[/tex]
[tex]\hookrightarrow \sf y - -4= -\dfrac{2}{5}(x-3)[/tex]
[tex]\hookrightarrow \sf y +4= \sf -\dfrac{2}{5}(x-3)[/tex]
[tex]\hookrightarrow \sf y +4= \sf -\dfrac{2}{5}x +\dfrac{6}{5}[/tex]
[tex]\hookrightarrow \sf y= \sf -\dfrac{2}{5}x +\dfrac{6}{5} -4[/tex]
[tex]\hookrightarrow \sf y= \sf -\dfrac{2}{5}x -\dfrac{14}{5}[/tex]
[tex]\hookrightarrow \sf y= \sf \dfrac{-2x-14}{5}[/tex]
[tex]\hookrightarrow \sf 5y= \sf -2x-14}[/tex]
[tex]\hookrightarrow \sf 2x+5y= \sf -14[/tex]
