Respuesta :

danielmaduroh

Answer and explanation:

In this problem, we have two functions. Let's call the first functions as:

[tex]y=f(x)=3x[/tex]

and the second function:

[tex]y=g(x)=3-x[/tex]

So we can compare this functions as follows:

  • f(x) has a positive slope while g(x) has a negative slope.

  • f(x) passes through the origin of the system of coordinates while g(x) cuts the y-intercept at [tex]y=3[/tex]

  • g(x) has an x-intercept at [tex]x=3[/tex] while f(x) cuts the origin.

Answer:

Both graphs represent the equation of a line

Step-by-step explanation:

Both graphs represent the equation of a straight line with the equation:

y = mx + c

Where m = the slope of the line and

c = intercept

Comparing both equations to the equation of a line given above:

In the first equation y = 3x

The slope, m = 3 (Positive slope)and

Intercept, c = 0

In the equation y = 3 -x

the slope, m = -1 (negative slope)

Intercept, c = 3

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