How do i do this i do not understand it

"Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers."

This is how you solve it.
First, you need to find the slope. The slope formula is... y2 - y1

x2 - x1
Coordinates: (2, 1) and (5, -8)
x1, y1 x2, y2

Plug the numbers in to get...

-8 - 1 -9
=
5 - 2 3

Slope: -3 (Keep in mind the equation is y=mx+b and slope=m)

Now for the y - intercept.

Pick a point.
y=mx+b
Replace y with y in point you picked, in the case I'll pick (2, 1)
x y
1=(slope)
1= -3 times (x)
1= -3(2) + b (we are trying to find that right now)
Now it's just a one step equation
1= -6 + b (Rid of six since you cancelled it out)
+6 +6
7= b (7 is your b or your y - intercept)

Put it all together to get y= -3x + 7

Happy Thanksgiving, I hope this helps for all future problems!

"Complete the equation of the line through (2, 1) and (5, -8). Use exact numbers."

This is how you solve it.
First, you need to find the slope. The slope formula is... y2 - y1

x2 - x1
Coordinates: (2, 1) and (5, -8)
x1, y1 x2, y2

Plug the numbers in to get...

-8 - 1 -9
=
5 - 2 3

Slope: -3 (Keep in mind the equation is y=mx+b and slope=m)

Now for the y - intercept.

Pick a point.
y=mx+b
Replace y with y in point you picked, in the case I'll pick (2, 1)
x y
1=(slope)
1= -3 times (x)
1= -3(2) + b (we are trying to find that right now)
Now it's just a one step equation
1= -6 + b (Rid of six since you cancelled it out)
+6 +6
7= b (7 is your b or your y - intercept)

Put it all together to get y= -3x + 7

Happy Thanksgiving, I hope this helps for all future problems!

In all honesty, there really is no “work” per say to show. mainly it’s just using the process of elimination. the question is asking which domain(s) would be the most appropriate for the function c(n). n is the number of observed vehicles so right away, 1, 2, and 3 can be eliminated.why? 1, 2 start in the negatives and therefore it is impossible to observe negative cars. so, #4 would be the best answer to the given problem.