Here's a graph of a linear function. write the equation that describes that function

Step-by-step explanation:

We have been given graph of a linear function and we are asked to write the equation for our given graph.

We will write equation of our given function in slope-intercept form of line , where, m represents slope of the line and b represents y-intercept or initial value of the function.

We can see from our graph that at x equals 0 y is -3, so our y-intercept or initial value of our function will be -3.

Now let us find slope of our function using slope formula.

, where,

= Difference between two y-coordinates.

= Difference between same x-coordinates of two y-coordinates.

Upon substituting coordinates of points (0,-3) and (6,0) in slope formula we will get,

Let us substitute and b=-3 in slope-intercept form of equation.

Therefore, the equation represents our given function.

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.