A graph of an additive rule contains the point (2,39) and (4,41). What expression does the graph represent?
To determine the expression represented by the graph of an additive rule, we need to find the slope of the line passing through the two given points.
Using the slope formula:
slope = (y2 - y1) / (x2 - x1)
Plugging in the values of the points (2, 39) and (4, 41):
slope = (41 - 39) / (4 - 2)
= 2 / 2
= 1
The slope of the line is 1.
Now let's substitute the coordinates of one of the points, (2, 39), into the slope-intercept form of a linear equation:
y - y1 = m(x - x1)
y - 39 = 1(x - 2)
y - 39 = x - 2
y = x - 2 + 39
y = x + 37
Therefore, the expression represented by the graph is y = x + 37.