Analyze the graph and write a linear function in slope-intercept form. (1 point) Here's the following graph: (2,5), (1, 3), (0, 1), (-1, -1) (-2, -3)
To write a linear function in slope-intercept form (y = mx + b), we need to find the slope (m) and the y-intercept (b).
From the given points, we can observe that the slope is constant, since the change in y is the same for each change in x.
Using the two points (2,5) and (1,3), we can calculate the slope as:
m = (change in y) / (change in x) = (5-3) / (2-1) = 2/1 = 2
Now, to find the y-intercept, we can substitute the coordinates of any point (x, y) into the equation y = mx + b and solve for b.
Let's use the point (0,1):
1 = 2(0) + b
b = 1
Therefore, the linear function in slope-intercept form that represents the given graph is:
y = 2x + 1