The options for the equation line are
a) 0.2x+2
b) 0.25x+2
c)0.4x+2
d)1.2x+2

Given two points (x₁,y₁) and (x₂,y₂); the slope of the line passes through these points is:
m=(y₂-y₁)/(x₂-x₁)
 
Point-slope form of a line: We need a point (x₀,y₀) and the slope "m".

y-y₀=m(x-x₀)

1) We calculate the slope:
(0,2)
(20,7)

m=(7-2)/(20-0)=5/20=1/4

2) We find out the equation of the line:
We can choose either two points : (0,2) or (20,7)
(0,2)
m=1/4
y-y₀=m(x-x₀)
y-2=1/4(x-0)
y-2=1/4 x
y=1/4 x+2   (slope-intercept form (y=mx+b))

The equation of the line is y=1/4 x+2

Now, we compute the cost of producing 50 engines:
if =x=50  ⇒ y=50/4+2=14.5

The total cost of producing 50 engines is $14,500

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Answerin vivo exposure;