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sesenic [268]
3 years ago
14

Write an equation for a line with a slope of -2, and a y-intercept of 1.

Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0

Answer:

y = -2x + 1

Step-by-step explanation:

Use slope intercept form, y = mx + b, where m is the slope and b is the y intercept:

Plug in the slope and y intercept:

y = mx + b

y = -2x + 1

So, the equation of the line is y = -2x + 1

You might be interested in
Find slope (6,2) (24,8)
musickatia [10]

Answer:

6, 18

Step-by-step explanation:

8-2=6

24-6=18

Have a great day!

3 0
2 years ago
A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining th
Anuta_ua [19.1K]
These are two questions and two answers:

Question 1:

<span>A quadratic equation is shown below: 3x^2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work.

Answer: </span><span>The negative value of the radicand means that the equation does not have real solutions.

Explanation:

1) With radicand the statement means the disciminant of the quadratic function.

2) The discriminant is: b² - 4ac, where a, b, and c are the coefficients of the quadratic equation: ax² + bx + c

3) Then, for 3x² - 15x + 20, a = 3, b = - 15, and c = 20

and the discriminant (radicand) is: (-15)² - 4(3)(20) = 225 - 240 = - 15.

4) The negative value of the radicand means that the equation does not have real solutions.

Question 2:

Part B: Solve 3x^2 + 5x − 8 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Answer:
</span> two solutions x = 1 and x = - 8/3x

Explanation:

1) I choose factoring (you may use the quadratic formula if you prefer)

2) Factoring

Given: 3x² + 5x − 8 = 0

Make 5x = 8x - 3x: 3x² + 8x - 3x - 8 = 0

Group: (3x² - 3x) + (8x - 8) = 0

Common factors for each group: 3x(x -1) + 8(x - 1) = 0

Coomon factor x - 1: (x - 1) (3x + 8) = 0

The two solutions are for each factor equal to zero:

x - 1 = 0 ⇒ x = 1
3x + 8 = 0 ⇒ x = -8/3

Those are the two solutions. x = 1 and x = - 8/3
4 0
3 years ago
#5
Zigmanuir [339]

Answer:

6

Step-by-step explanation:

because 5 is greater than 4

6 0
2 years ago
Write an equation for the translation of y=2/x with the given asymptotes. X=1 y=-1
zhenek [66]
The equation is:
y=\frac{2}{x-1}-1
5 0
3 years ago
A spinner is divided into 10 congruent sections, numbered 1 through 10. If Cleo spins the spinner once, what is the probability
mario62 [17]

Answer:

20% or 1/5 or 0.2

Step-by-step explanation:

1. There are 10 sections, which means <em>each section has a a chance of 10% to be landed on</em>.

2. There are <em>two multiples of four under 10: 4 and 8</em>.

That means there is a <em>2 * 10%</em> = 20% chance that the spinner will land on a multiple of 4.

7 0
3 years ago
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