Question

(The slope problem is in the image.)

Answer 1

Answer:

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

given equation:

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

rewrite in slope intercept form: y = mx + b

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

$\hookrightarrow \sf y= \dfrac{2x +4}{-5}$

$\hookrightarrow \sf y= -\dfrac{2}{5} x-\dfrac{4}{5}$

• from this we can determine that the slope is $\sf -\frac{2}{5}$

• as the line is parallel, the slope will be the same.

using the equation:

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

$\hookrightarrow \sf y - -4= -\dfrac{2}{5}(x-3)$

$\hookrightarrow \sf y +4= \sf -\dfrac{2}{5}(x-3)$

$\hookrightarrow \sf y +4= \sf -\dfrac{2}{5}x +\dfrac{6}{5}$

$\hookrightarrow \sf y= \sf -\dfrac{2}{5}x +\dfrac{6}{5} -4$

$\hookrightarrow \sf y= \sf -\dfrac{2}{5}x -\dfrac{14}{5}$

$\hookrightarrow \sf y= \sf \dfrac{-2x-14}{5}$

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

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

Answer 2

Answer:

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