Sonja plays tennis and started a tournament with 43 aces on the season. the graph relates her total season aces with the number of matches played in the tournament.

The first thing we need to do is find the slope of our line. To do it we are using the slope formula:

where

is the slope of the line

are the coordinates of the first point on the line

are the coordinates of the second point

From our graph we can get the points (0, 43) and (2, 55), so , , , and . Let's replace the values in our slope formula:

Now that we have our slope, we can use the point-slope formula:

But remember that the equation of a line in standard form is , so we need to subtract and add 43 to both sides of our point slope equation:

We can conclude that the equation in standard form that represent the relationship in the graph is .

4

step-by-step explanation: