Question

What is the equation of the linear function written in slope-intercept form?

Answer 1

Answer:

f(x) = -3x - 1

Step-by-step explanation:

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

$f(x)=mx+b$

m - slope

b - y-intercept, (0, b)

The formula of a slope:

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

From the graph we have two points A(-1, 2) and B(0, -1) → b = -1.

Calculate the slope:

$m=\dfrac{-1-2}{0-(-1)}=\dfrac{-3}{1}=-3$

Finally:

$f(x)=-3x-1$