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rusak2 [61]
3 years ago
12

(0,-2),(4,-162) exponential function

Mathematics
1 answer:
Luda [366]3 years ago
4 0
Yessssss yessssss yesssss
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Write the equation of a line that passes through the points (-3, 7) and (3, 3).
egoroff_w [7]

Answer:

y = -2/3x + 5

Step-by-step explanation:

(-3, 7) and (3, 3)

First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(3 - 7) / (3 -(-3))

Simplify the parentheses.

= (3 - 7) / (3 + 3)

Simplify the fraction.

= (-4) / (6)

= -4/6

= -2/3

This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.

y = -2/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (3, 3). Plug in the x and y values into the x and y of the standard equation.

3 = -2/3(3) + b

To find b, multiply the slope and the input of x(3)

3 = -2 + b

Now, add 2 to both sides to isolate b.

5 = b

Plug this into your standard equation.

y = -2/3x + 5

This is your equation.

Check this by plugging in the other point you have not checked yet (-3, 7).

y = -2/3x + 5

7= -2/3(-3) + 5

7 = 2 + 5

7 = 7

Your equation is correct.

Hope this helps!

6 0
2 years ago
Solve for x <br> A) 12 <br> B) 11<br> C) 8 <br> D) 10
Furkat [3]

Answer:

B i would be good i solve 20 minutes

6 0
3 years ago
I will give brainliest to whoever answers first
Hatshy [7]

Answer:

this is a rubric for an assignment not the work :)

Step-by-step explanation:

yay brainlyest

7 0
2 years ago
Read 2 more answers
The function y = f(x) is graphed below. What is the average rate of change of the
Serjik [45]

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

brainly.com/question/20784578

#SPJ1                  

3 0
1 year ago
Please help!!!<br> 20 points
mrs_skeptik [129]

Answer:

c

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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