We must find an equation for the line that passes through the points:
• A = (xA,yA) = (7,6),
,
• B = (xB,yB) = (-2,-3).
The general slope-intercept equation of a line is:

where m is the slope and b is the y-intercept of the line.
1) We can compute the slope m with the coordinates of two points of the line and the following formula:

where (xA,yA) and (xB,yB) are the coordinates of the points A and B, respectively.
Replacing the coordinates of the points in the formula above, we get:

2) To find the y-intercept b we replace the coordinate of one of the points (A for example) and the value of m = 1 in the general equation of the line, and then we solve for b:

Using the values m = 1 and b = -1, we find that the equation of the line is:

Answer
The equation of the line is
