Question

(The slope problem is in the image.)

Answer 1

`\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`