Alinear function f models a relationship in which the dependent variable decreases 6 units for every 3 units the independent variable decreases. the value of the function at 0 is 4. graph the function. identify the slope, y-intercept, and x-intercept of the graph.

A. Finding the slope

The slope of the function is simply the ratio of the value of the dependent variable over the independent variable, so in this case it is:

slope = 6/ 3 = 2

B. Finding the y – intercept

The y – intercept is simply the value of the dependent variable when the independent variable is equal to zero, therefore:

y – intercept (b) = 4

C. Finding the function of the graph

The general equation of a line is given as:

y = m x + b

where m is the slope and b is the y intercept therefore:

y = 2 x + 4

D. Finding the x – intercept

The x – intercept is simply the value of the independent variable (x) when the dependent variable (y) is equal to zero, therefore:

0 = 2 x + 4

x = - 2

E. Graph the function

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step-by-step explanation:

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