Answer:

Step-by-step explanation:
First we need to find the slope of the line. We can plug in both coordinates in to the slope formula.
The slope formula is:

So I will use (-3,4) as the first coordinate, and (7,-1) as the second coordinate.
x₁ = -3
y₁ = 4
x₂ = 7
y₂= -1
I will plug in these values to find the slope.

Now that we know the slope is -1/2, we can plug in the slope and a point into the point slope equation. Then we can solve for y.

I have attached an image of what this graph should look like. Since the slope is -1/2, the y value should decrease by 1/2 every time you move over by 1 on the x axis. And since the equation says "+5/2" we know we have to shift the graph up by 5/2. The y-intercept will be 5/2.
I added another image that shows how to graph an equation using the equation y=mx+b
Answer:
-528
Step-by-step explanation:
4-7=-3
44*-3*4=-132*4=-528
Check the picture below
notice, the ramp is shorter but the floor is the same length
(0,2) because following the formula x,y, the 2 is the y, while the 0 is the x.
Answer: 52,416,000 km
Step-by-step explanation:
If a comet travels 273,000 km/hr
1) Multiply 273,000 km by 24 hours to find how far the comet travels in one day
2) multiply the answer from 1 by 8 to determine how far it travels in 8 days
1)
*
=
(hours cancel out)
2)
*8 day= 52,416,000 km in 8 days
The comet approximately travelled 52,416,000km from when it began to travel to when it reached Earth. Hope this helped :)