Question

Find the equation of the line through the given pair of points in standard form using only integers and the smallest possible positive integer coefficient for x (-4,-4) and (-9,5) The standard equation is ___________

Answer 1

The standard equation is
`5y+9x=-56`.

Explanation:

Consider the provided points.

To find the standard equation of line use two point slope form.

`(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Substitute
`\left(x_1,\:y_1\right)=\left(-4,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-9,\:5\right)` in above formula.

`(y-(-4))=(5-\left(-4\right))/(-9-\left(-4\right))(x-(-4))`

`(y+4)=(9)/(-5)(x+4)`

`(y+4)=-(9)/(5)(x+4)`

`5y+20=-9x-36`

`5y+9x=-36-20`

`5y+9x=-56`

Hence, the standard equation is
`5y+9x=-56`.