Question

y A functionf (x) is graphed on the coordinate plane. 4 What is the function rule in slope-intercept form? 3 2 11 Enter your answer in the box. -5 -4 -3 -2 -1 1 2 3 4 5 f(x) = = -27 -3 Basic -5+ 7 8 9 -- X Y 22 0 X 4 5 6 х PO 1 2 3 < V + $ 0 % (0)

Answer 1

ANSWER

f(x) = -4x - 2

EXPLANATION

The slope-intercept form of the equation of a line is:

$f(x)=mx+b$

Where m is the slope and b is the y-intercept.

The first thing we can get from the graph is the y-intercept - which is the point where the line crosses the y-axis:

The y-intercept is -2.

To find the slope we can select another point on the line and use the formula:

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

The slope is:

$m=\frac{2-(-2)}{-1-0}=\frac{2+2}{-1}=\frac{4}{-1}=-4$

So the equation of the line is:

$f(x)=-4x-2$