Consider the function f (x) = 3x – 2 and the function g(x), which is represented by the table below. x 1 3 5 7 9 g(x) 3 7 11 15 19 Which of the following statements about f(x) and g(x) is true? Select all that apply. The line represented by f(x) crosses the x–axis to the right of the line represented by g(x). The y–intercept of f(x) is smaller than the y–intercept of g(x). The lines represented by f(x) and g(x) are parallel. The values of f(x) and g(x) are the same at x = 3. The slope of f(x) is smaller than the slope of g(x).

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

77

step-by-step explanation: