The equation in slope-intercept form that represents the situation is y = 3x + 12
A linear equation is on the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the initial value of y.
Let x be the calf's age in month and y be the weight.
A calf weighs 18 lbs. when it is 2 months old, and after 8 months it weighs 36 lbs. Hence it can be represented by:
(2, 18) and (8, 36). The equation is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-18=\frac{36-18}{8-2}(x-2) \\\\y=3x+12[/tex]
The equation in slope-intercept form that represents the situation is y = 3x + 12
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