Step 1: Find the slope
Slope formula = (y2 - y1) / (x2 - x1)
---You can choose any two points when finding the slope!
Point 1 = (-2,-10)
Point 2 = (-1,-3)
Slope = (-3 - - 10) / (-1 - - 2)
Slope = 7 / 1
Slope = 7
Step 2: Find the y-intercept
Now that we have the slope, we'll plug that and one point into slope-intercept form. Then, we'll solve for b.
Slope-Intercept Form: y = mx + b
---m is the slope, b is the y-intercept
Point = (-1, -3)
Slope = 7
-3 = 7(-1) + b
-3 = -7 + b
b = 4
Step 3: Put it all together
Now that we know the slope and y-intercept, all that's left to do is plug them into slope-intercept form.
Slope-Intercept Form: y = mx + b
Slope = 7
Y-Intercept = 4
Line: y = 7x + 4
Correct Answer: A
Hope this helps!
Answer: f(x) = - 7x/17 - 29/17
Step-by-step explanation:
The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c
Where
c represents the y intercept.
m represents the slope of the line.
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent
change in the value of y = y2 - y1
Change in value of x = x2 -x1
The line passes through (8, - 5) and (- 9, 2),
y2 = 2
y1 = - 5
x2 = - 9
x1 = 8
Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =
- 7/17
To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into
y = mx + c. It becomes
- 5 = - 7/17 × 8 + c
- 5 = - 56/17 + c
c = - 5 + 56/17
c = - 29/17
The equation becomes
f(x) = - 7x/17 - 29/17
Answer:
a) P=0.2503
b) P=0.2759
c) P=0.3874
d) P=0.2051
Step-by-step explanation:
We have this information:
25% of American households have only dogs (one or more dogs)
15% of American households have only cats (one or more cats)
10% of American households have dogs and cats (one or more of each)
50% of American households do not have any dogs or cats.
The sample is n=10
a) Probability that exactly 3 have only dogs (p=0.25)
b) Probability that exactly 2 has only cats (p=0.15)
c) Probability that exactly 1 has cats and dogs (p=0.1)
d) Probability that exactly 4 has neither cats or dogs (p=0.5)
