the point slope form of the equation of the line that passes through (-5-1) and (10.-7) is
standard form of the equation for this line?

The standard form of the equation for this line can be:

l: 2x + 5y = -15.

Step-by-step explanation:

Start by finding the slope of this line.

For a line that goes through the two points and ,

.

For this line,

.

Find the slope-point form of this line's equation using

The slope-point form of the equation of a line

should be .

For this line,

The equation in slope-point form will be

.

The standard form of the equation of a line in a cartesian plane is

where

, , and are integers. .

Multiply both sides of the slope-point form equation of this line by :

.

Add to both sides of the equation:

.

Therefore, the equation of this line in standard form is .