Answer:
y= x-7
Step-by-step explanation:
General equation of a line is y=mx+b , where m is the slope
In our case slope is m= 1 , so the equation is y= x+b
One of the points is given (4, -3) so it needs to check with our equation since it belongs to the line, so will use it to find b the y-intercept
y = x+b
-3 = 4 + b, substitute (x=4, y= -3)
-3-4 = b, subtract 4 from both sides
-7 = b, combine like terms
The equation of the line that passes through the point (4,-3) and has a slope of 1 is y= x-7
