For the given coordinates we get the values of m as -2 and b as -4
Explanation:
Step 1; First substitute the values of x which are -4 and 5 in the equations along with the values of y which are 4 and -14. By substituting we get
equation 1; 4 = -4m + b
equation 2; -14 = 5m + b
Step 2; We multiply equation 1 by 5 and equation 2 by 4 so that we get 20m on both equations. Then we add the resulting equations to get
equation 3; -36 = 9b
Solving we get b=-4
Step 3; Substituting b=-4 in equation 1 we get
4 = -4m -4
By solving this we get m = -2.
We can check by substituting these values in any of the equations to verify. So the values are m is -2 and b is -4