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shtirl [24]
2 years ago
6

What is an equation in point-slope form of the line that passes through (-3,-1) and has a slope of 2?

Mathematics
1 answer:
IceJOKER [234]2 years ago
5 0
The answer is the letter C
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Create the f(x) function based on the table. Your answer should be in function notation. X f(x) - 10 -6 -9 -5 1-8 -4 -7 1-3 5 9​
Minchanka [31]

Answer:

f(x) = x + 4

Step-by-step explanation:

First create an equation in slope-intercept form, y = mx + b. To do this, find the rate of change or slope (m), and the y-intercept (b).

Using two pairs, (-7, -3) and (-8, -4),

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-4 -(-3)}{-8 -(-7)} = \frac{-1}{-1} = 1

m = 1

To find b, substitute m = 1, x = -7 and y = -3 into y = mx + b.

Thus:

-3 = (1)(-7) + b

-3 = -7 + b

-3 + 7 = b

4 = b

b = 4.

Replace y with f(x), m with 1 and b with 4 in y = mx + b.

The function would be:

f(x) = x + 4

6 0
3 years ago
What type of transformation occurred in the graph for g(x)?
Galina-37 [17]

Answer:

The tranformation ocurred in the graph is b.

Step-by-step explanation:

Because it is going inner, meaning the tranformation ocurred in the graph is b.

3 0
3 years ago
Read 2 more answers
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
Artist 52 [7]

Answer:

This system of equations has infinite points of intersection

Step-by-step explanation:

* To know the point of intersection of the system of equations,

  you will solve the graphically or algebraically

- Graphically by drawing two lines on the coordinate plane

- Algebraically by substitution method or elimination method

* Lets use the substitution method

∵ y = 4 - x

∵ 2y = 8 - 2x

- Substitute y in the second equation by its value in the

 first equation

∴ 2(4 - x) = 8 - 2x ⇒ open the bracket

∴ 8 - 2x = 8 - 2x

* The two sides equal each other, that means we can use any

  vales of x, and on the graph they will be the same line for

  the two equations

∴ This system of equations has infinite points of intersection

3 0
3 years ago
What is (3x-4) (7x+4)
d1i1m1o1n [39]

Answer:21x^2-16x-16

Step-by-step explanation:

(3x)(7x)+(3x)(4)+(−4)(7x)+(−4)(4) =

21x^2+12x−28x−16

21x^2−16x−16

7 0
3 years ago
Read 2 more answers
Simplify as much as possible<br> (-9z^7 x + 28z^7x^3) / (-4z^4 x^2)
amm1812
The answer is z^3(9-28x^2)/4x
8 0
3 years ago
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