A coordinate plane with a line passing through (negative 3, negative 5), (0, 1), and (2, 5).

Question

A function f(x) is graphed.

What is the slope of the function?

m =_____

What is the y-intercept of the function?

b =____

Which equation represents the graph of the function?
_______

Answer 1

To find the slope of the function, we can use the formula:

m = (y2 - y1) / (x2 - x1)

Using the points (-3, -5) and (0, 1):

m = (1 - (-5)) / (0 - (-3))
m = 6 / 3
m = 2

So, the slope of the function is 2.

To find the y-intercept of the function, we can use the point-slope form of a linear equation (y = mx + b) and substitute the slope and a point (0, 1) into the equation:

1 = 2(0) + b
1 = 0 + b
b = 1

So, the y-intercept of the function is 1.

Therefore, the equation representing the graph of the function is:

y = 2x + 1