Question

Analyze the graph and write a linear function in slope-intercept form.

(-2,-3)
(-1,-1)
(0,1)
(1,3)
(2,5)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To write a linear function in slope-intercept form (y = mx + b), we need to calculate the slope (m) and the y-intercept (b) using two of the given points.

Using the points (-2, -3) and (2, 5), we can calculate the slope:

m = (y2 - y1) / (x2 - x1)
m = (5 - (-3)) / (2 - (-2))
m = 8 / 4
m = 2

Now, we can use the slope-intercept form with the slope (m = 2) and one of the given points (0, 1) to find the y-intercept (b):

1 = 2 * 0 + b
1 = b

So, the linear function in slope-intercept form is:
y = 2x + 1