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:
7
Step-by-step explanation:
Given:
Cards labelled 1, 3, 5, 6, 8 and 9.
A card is drawn and not replaced. Then a second card is drawn at random.
To find:
The probability of drawing 2 even numbers.
Solution:
We have,
Even number cards = 6, 8
Odd numbers cards = 1, 3, 5, 9
Total cards = 1, 3, 5, 6, 8 and 9
Number of even cards = 2
Number of total cards = 6
So, the probability of getting an even card in first draw is:
Now,
Number of remaining even cards = 1
Number of remaining cards = 5
So, the probability of getting an even card in second draw is:
The probability of drawing 2 even numbers is:
Therefore, the probability of drawing 2 even numbers is 
. Hence, the correct option is (b).
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
<h3>What inequality represents the figure</h3>
In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:
f(x) = a · (x + 1) · (x - 9)
- 125 = a · (4 + 1) · (4 - 9)
- 125 = a · 5 · (- 5)
- 125 = - 25 · a
a = - 5
f(x) = 5 · (x + 1) · (x - 9)
f(x) = 5 · (x² - 8 · x - 9)
f(x) = 5 · x² - 40 · x - 45
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
To learn more on inequalities: brainly.com/question/17675534
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