The first step is to find the slope. Use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,5) and (x2,y2) = (2,-1)
So,
x1 = -1
y1 = 5
and
x2 = 2
y2 = -1
will be plugged into the slope formula to get...
m = (y2-y1)/(x2-x1)
m = (-1-5)/(2-(-1))
m = (-1-5)/(2+1)
m = (-6)/(3)
m = -2
The slope is -2
Use m = -2 and one of the points to find the y intercept b. I'll use the point (x,y) = (-1,5) ---> x = -1, y = 5
y = mx+b ... slope intercept form
5 = -2*(-1)+b
5 = 2+b
5-2 = 2+b-2
3 = b
b = 3
The y intercept is 3
-----------------------------------
m = -2 is the slope
b = 3 is the y intercept
Therefore y = mx+b turns into y = -2x+3 as the equation that goes through the two points
Answer:
D. ln(x-3) + 4
Step-by-step explanation:
- There is a vertical asymptote at x=3, and this matches answer choice D!
Answer:
514 m = width of the river to the nearest meter
Step-by-step explanation:
You must memorize the definitions of the trig functions and then these types of problems are easy.
You have a right triangle where the 100 m is the adjacent side to the 79° angle. You are looking for the side opposite the 79° angle. So, you need to use the tan function which is defined as opposite side/adjacent side
Let x = the length of the opposite side (width of river)
Tan 79 = x/100
100 tan 79 = x
x = 514 m = width of the river to the nearest meter
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