Question

A functionf(x) is graphed on the coordinate plane. What is the function rule in slope-intercept form? Enter your answer in the box. F(x)=.

Answer 1

Linear functions are used to represented straight lines.

The linear function is $y = -\frac 12x + 1$

The points on the graph are: (2,0) and (0,1)

Start by calculating the slope (m) using:

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

Substitute values for x and y

$m = \frac{1 - 0}{ 0 -2}$

$m = \frac{1 }{ -2}$

Rewrite as:

$m = -\frac{1 }{2}$

The equation is then calculated as:

$y = m(x - x_1) + y_1$

This gives

$y = -\frac 12(x -0) + 1$

$y = -\frac 12(x) + 1$

Open bracket

$y = -\frac 12x + 1$

Hence, the linear function is $y = -\frac 12x + 1$

Read more about linear functions at:

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