Answer:
The equation of the line is [tex]y = 34\cdot x + 168[/tex].
Step-by-step explanation:
According to Analytical Geometry, we know that any equation of the line can be determined by knowing two distinct points on Cartesian plane. From statement we get that:
[tex]y(15\,h) = 678\,kg[/tex] (1)
[tex]y (25\,h) = 1018\,kg[/tex] (2)
By applying the definition of the equation of the line, we form this system of two linear equations with two variables:
[tex]15\cdot m + b = 678[/tex] (3)
[tex]25\cdot m + b = 1018[/tex] (4)
By algebraic mean we get the following solution:
[tex]m = 34\,\frac{kg}{h}[/tex] and [tex]b = 168\,kg[/tex]
And the equation of the line is [tex]y = 34\cdot x + 168[/tex].
