Question

BRAINLEST FOR RIGHT ANSWER 6. Which rule matches the function shown in the graph?

Answer 1

For this case we have a function of the form:

$y = mx + b$

Where,

m: slope of the line

b: cutting point with the y axis.

The line cuts to the y-axis at the point:

$(x, y) = (0, 0)$

Therefore, the value of b is given by:

$b = 0$

We now look for the slope of the line.

For this, we use the following equation:

$m=\frac{y2-y1}{x2-x1}$

Substituting values we have:

$m=\frac{1-0}{3-0}$

Rewriting:

$m=\frac{1}{3}$

Then, the equation of the line is:

$y=\frac{1}{3}x$

Answer:

the rule that matches the function shown in the graph is:

$y=\frac{1}{3}x$