Answer:
gradient = -1
Step-by-step explanation:
identify the y intercept ( the point where it meet the y- axis ) which denoted by c in the formula y =mx + c
in the graph :the y- intercept is 5 (c)
take the coordinate of any point that passes through the line :- for example (2,3)
in (2,3), the value of x is 2
the value of y is 3
using the formula y = mx + c find m with is the gradient ( unknown )
y = mx + c
3 = m2 + 5
2m + 5 = 3
we sent + 5 to the right and it changes sign to become -5
2m = 3 -5
we substract -5 from 3
2×m = -2
we send 2 to the other side so that m can be alone, it change to become divide since it was multiply
m = -2 ÷ 2
m = -1
the gradient ( unknown ) = -1