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 .

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.