Answer:
B. -2
Step-by-step explanation:
As this is the straight line, so that the equation the line represents has the following form: Y = f(X) = a.X + b
=> a is the slope of the line
Looking at the graph, we can see that the line crosses two points: A(2;0) and B(0;4).
A (2;0) => [tex]X_{A}=2; Y_{A}=0[/tex]
B (0;4) => [tex]X_{B}=0; Y_{B}=4[/tex]
So that we have:
+) [tex]Y_{A} = f(X_{A}) = a. X_{A} + b[/tex]
=> 0 = a.2 + b => b = - 2a (1)
+) [tex]Y_{B} = f(X_{B}) = a. X_{B} + b[/tex]
=> 4 = a.0 + b => b = 4
Replace b = 4 into (1)
=> 4 = -2. a => a = 4 / (-2) = -2
So a = - 2 => Slope of the line is -2
