Question

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

Answer 1

Answer:

$\large\boxed{y=\dfrac{1}{4}x+3}$

Step-by-step explanation:

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

$y=mx+b$

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:

$y=mx+3$

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Put the coordinates of the points:

$m=\dfrac{3-4}{0-4}=\dfrac{-1}{-4}=\dfrac{1}{4}$

Finally we have:

$y=\dfrac{1}{4}x+3$