Given the equation: y = f(x) = a + bx, what are the slope and intercept, respectively?

Question

BlackTom AI · Accepted Answer

To tackle this question, I’ll map the standard form of a linear equation to identify slope and intercept.
Option 1: 'b; a' — This matches the interpretation where the coefficient of x, which is b, is the slope, and the constant term a is the y-intercept when x = 0. This is the correct pairing for y = a + b x.
Option 2: 'y; x' — These are the labels of the variables, not the slope or intercept. This option confuses the roles of the variables with the parameters a and b.
Option 3: 'f(x); a' — f(x) denotes the function itself, not the slope, and a is the intercept. This option misidentifies the first item as the slope.
Option 4: 'a; b' — Here the constant term a would be incorrectly listed as the slope and b as the intercept, reversing the actual roles of the coefficients in y = a + b x.
Overall, the correct interpretation is that the slope is b and the intercept is a, so the answer 'b; a' is the accurate choice.

CO.BU.Quantitative_Business_Prep Module 1 Quiz

Given the equation: y = f(x) = a + bx, what are the slope and intercept, respectively?

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