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Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Enter the correct answer
000
DONE
000

Heres a graph of a linear function Write the equation that describes that function Express it in slopeintercept form Enter the correct answer 000 DONE 000 class=

Respuesta :

gmany

Answer:

[tex]\large\boxed{y=\dfrac{1}{4}x+3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

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

m - slope

b - y-intercept → (0, b)

From the graph we have the points (4, 4) and (0, 3) → b = 3.

We have the equation:

[tex]y=mx+3[/tex]

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put the coordinates of the points:

[tex]m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]

Finally we have:

[tex]y=\dfrac{1}{4}x+3[/tex]

Ver imagen gmany