The line y = mx + c passes through the points (-2, 1) and (4,4). Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.

Step-by-step explanation:

Insert x for -2 & 4 and y for 1 & 4

1=-2m+c, 4=4m+c

solve the equation, m=1/2, c=2

y = 1/2m + 2

Step-by-step explanation:

1 = -2m + c (1)

4 = 4m + c (2)

 2 = -4m + 2c (1*)

(1*) + (2) =  6 = 3c

                 c = 2

y = mx + 2

4 = 4m + 2

2 = 4m

m = 1/2

so y = 1/2m + 2

x= -3

step-by-step explanation:

step 1: simplify brackets

4 - x - 1 = 6

step 2: simpilfy

3 - x = 6

step 3: subtract 3 from both sides

-x = 6 - 3

step 4: simpilfy 6 - 3

-x = 3

step 5: multiply both sides by -1

x = -3