The equation of the line which passes through the points  and
 and  is
 is  .
.
Further explanation:
It is given that the line passes through the points  and
 and  .
.
Consider the point  as
 as  and
 and  as
 as  .
.
Two points are given through which the line passes so, in order to determine the equation of the line use the two point form equation.
The general representation of the two point form of a equation is as follows:
 (1)
                             (1)
In the above equation the expression  is called slope.
 is called slope.
Slope of a line is represented as  and the expression for
 and the expression for  is as follows:
 is as follows:
 (2)
       (2)
Substitute  for
 for  in equation (1).
 in equation (1).
 (3)
   (3)
To calculate the value of slope substitute the value of  and
 and  in equation (2).
 in equation (2).

Therefore, the value of slope of the line is  .
.
To obtain the equation of the line substitute the value of  and
 and  in equation (3).
 in equation (3).

Therefore, the equation of the line is  .
.
Thus, the equation of the line which passes through the points  and
 and  is
 is  .
.
Learn more:
1.	A problem to complete the square of quadratic function brainly.com/question/12992613  
2.	A problem to determine the slope intercept form of a line brainly.com/question/1473992
3.	Inverse function brainly.com/question/1632445.
Answer details
Grade: High school
Subject: Mathematics
Chapter: Lines
Keywords: Equation, linear equation, slope, intercept, intersect, graph, curve, slope intercept form, line, point slope form, two point form, equation of a line, (-6,7) and (-3,6).