Answer:
3/4
Step-by-step explanation:
First of all, we need to calculate the slope of the line shown. This can be computed as:

where
is the increment along the y-direction
is the increment along the x-direction
We can choose the following two points to calculate the slope of the line shown:
(-3,2) and (0,-2)
And so, the slope of the line shown is

Two lines are said to be perpendicular if the slope of the first line is the negative reciprocal of the slope of the second line:

Using
, we find that a line perpendicular to the line shown should have a slope of

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Answer:

Step-by-step explanation:
First, we can find the slope using the slope equation and two of the points.
Slope equation:

I'm going to use the first two points just so I can avoid the fraction... Substitute the x and y values into the equation.

Simplify:

Now that we have the slope, all we need is the y-intercept. Luckily, it gives it to us in the table. The x value of y-intercepts will always be 0. Looking at the table, we see that the point where x=0 is (0,2). Thus, the y-intercept is 2. Your final equation is

Answer:
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