Complete the equations by seeing the given graphs?

Question

Answer 1

Ana's Line
y = (1/2) x + 1

Davon's Line
y = (-2)x + 4

Esme's Line
y = 3x -1

Comments

Thanks.

Answer 2

Straight lines follow the equation , y = a x + b
Let us find Ana equation,
From the graph, we have ( x=2, y=2) and (x=4, y=3)
By replacing the values in the general equation , we obtain the system of two equations:
2 = a x 2 + b
3 = a x 4 + b
Solving the system , we obtain Ana equation: Y = 0,5 X + 1
The same logic applies to the other two equations, yielding:
Davon equation : Y = -2 X + 4
Esme equation : Y = 3 X - 1