The equation of the line which passes through the points
and
is
.
Further explanation:
It is given that the line passes through the points
and
.
Consider the point
as
and
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)
In the above equation the expression
is called slope.
Slope of a line is represented as
and the expression for
is as follows:
(2)
Substitute
for
in equation (1).
(3)
To calculate the value of slope substitute the value of
and
in equation (2).

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

Therefore, the equation of the line is
.
Thus, the equation of the line which passes through the points
and
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).