What is the equation of this graph?

Answer (assuming it is allowed to be written in slope-intercept form):

Step-by-step explanation:

When knowing a line's y-intercept and its slope, you can write its equation using slope-intercept form, or .

1) First, find the slope of the line. Read the graph and look at the two points marked on the line - they are (0,1) and (3,-1). Use the slope formula , substitute the x and y values of those points, and solve:

Thus, the line's slope is .

2) Now, use the slope-intercept formula, , to write an equation. Substitute the and for real values.

The represents the slope, so substitute  in its place. The represents the y-value of the y-intercept, or the point at which the line crosses the y-axis. Looking at the graph, we can see that the line intersects the y-axis at (0,1). Thus, substitute 1 for . This gives the following equation and

i believe that the answer is

b. y-1=-2(x-4)

hope this !