Which graph represents a linear function that has a slope of 0.5 and a y-intercept of 2?


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Respuesta :

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

[tex]y=mx+b[/tex]

where

m is the slope

b is the y-intercept

In this problem we have

[tex]m=0.5\\b=2[/tex]

substitute

[tex]y=0.5x+2[/tex]

The easiest way to graph a line is with a pair of points.

Find the intercepts

The y-intercept is given ----> point (0,2)

The x-intercept is the value of x when the value of y is equal to zero

For y=0

[tex]0=0.5x+2[/tex]

[tex]x=-4[/tex]

so

The x-intercept is the point (-4,0)

Plot the intercepts and join the points to graph the line

using a graphing tool

The graph in the attached figure

Ver imagen calculista

Answer:

b

Step-by-step explanation: