What is (-4, 4) and (5, - 14) in y=mx+b

For the given coordinates we get the values of m as - 2 and b as - 4

Step-by-step 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