Find the equation of the line.

Step-by-step explanation:

Slope-intercept form: when is the slope and is the y-intercept (the y-coordinate of the point where the line crosses the y-axis)

1) Find the slope ()

when the given points are and

We can use any two points on the line to plug into this equation, but it's often easiest to use points that have whole-number coordinates. For example, we can use the points (1,-1) and (3,0).

Two negatives make a positive

So far, our equation looks like this:

2) Find the y-intercept ()

We're told to approximate the y-intercept based on what appears to be true in the graph. In the graph, we can see that the y-intercept appears to occur when y=-1.5, or when y=. Therefore, .

Now, after plugging both and into our equation, our final equation looks like this:

I hope this helps!

13

step-by-step explanation:

distance formula is d=√(x2-x1)^2   +   (y2-y1)^2

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.