(Due in 30 minutes!) Write an equation in slope-intercept form of the line.

y = -1/2x + 2

Step-by-step explanation:

Given the following points on the line:  

(0, 2) and (6, -1)

We need to find the slope of the line using the following formula:

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

Let (x1, y1) = (0, 2)

     (x2, y2) = (6, -1)

Plug these values into the slope-formula:

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

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

m = -3 / 6

m = -1/2

Therefore, the slope of the line is -1/2.

Next, we need to find the y-intercept of the line. The y-intercept is the point on the graph where it crosses the y-axis. It is also the value of y when x = 0. If you look at the graph, you'll see that the line crosses the y-axis at point (0, 2), which happens to be one of the points we used earlier.  The y-coordinate of (0, 2) is the y-intercept.  

Therefore, the y-intercept (b) = 2.

We can write the linear equation as follows:

y = -1/2x + 2