The standard form equation of the line connecting the two points is
Linear equation in a standard form is given as
where,
A, B, and C are constants or numbers
x and y are the variables.
To solve this problem, the following steps would be taken:
Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)
where,
Substitute
Step 2: Find the y-intercept (b) of the line by substituting and
into
(slope-intercept form)
Step 3: Write the equation of the line in slope-intercept form by substituting and
into
Step 4: Rewrite the equation in standard form
Add to both sides
The standard form equation of the points (-3,4) and (2,-6) is
Learn more about standard form of two points of a linear equation here: