Answer: Equation of line = 
The slope of the line that contains the points (4, −7) and (1, 5) is -4 .
Step-by-step explanation:
The slope of a line that contains two points (a,b) and (c,d) is given by :-

The slope of a line passing through (4, −7) and (1, 5) will be:_

The equation of a line passing through (a,b) and has slope m is given by :_

Then , the equation passing through (1,5) and has slope -4 will be

Hence, the equation of line = 
The slope of the line that contains the points (4, −7) and (1, 5) is -4.