Answer:
y = 2x + 1
Explanation:
To find the explicit formula represented by the given points, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope using any two points from the given points:
Slope = (change in y) / (change in x) = (7-9)/(3-4) = -2/-1 = 2
Now we have the slope (m = 2). We can use any of the points and the slope to find the y-intercept (b).
Using the point (4,9):
y = mx + b
9 = 2(4) + b
9 = 8 + b
b = 1
Therefore, the explicit formula represented by the graph is:
y = 2x + 1
Hope this helps!