Question

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

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

m= 2

b=1

y=2x+1

Answer 2

m=2

b=1

y=2x+1

Step-by-step explanation:

First, slope is change in y over change in x, or rise over run. Plugging these points in, (y2-y1)/(x2-x1)=(1--5)/(0--3), or 6/3, simplifying, the slope= 2.

Next, the y-intercept is where the line intersects the y-axis, or when x is 0. Looking at the point (0,1), the y intercept is 1.

Using slope intercept form, y=mx+b, or y=2x+1.