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

Answer:

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

Step-by-step explanation:

Consider the provided points.

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

$(y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

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

$(y-(-4))=\frac{5-\left(-4\right)}{-9-\left(-4\right)}(x-(-4))$

$(y+4)=\frac{9}{-5}(x+4)$

$(y+4)=-\frac{9}{5}(x+4)$

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

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

$5y+9x=-56$

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