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Zielflug [23.3K]
3 years ago
11

8. Find the slope. Make sure to reduce.

Mathematics
1 answer:
miv72 [106K]3 years ago
6 0
I think the answer is: -3/7x
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What is the equation of the line that passes through the point ( − 3 , 1 )and has a slope of 2/3
andrezito [222]

Answer: y = 2/3x + 3

Step-by-step explanation:

We will write the equation in slope intercept form (y=mx+b).

In the formula y=mx + b,  m is the slope and b is the y intercept. We need the slope and y intercept numbers to write the equation. Since we know the slope we will use the given point to find the y intercept by plotting in the x and y coordinates into the formula.

1 = 2/3(-3) + b       Solve for b

1= -6/3 + b

1 = -2 + b  

+2   +2

b = 3  

The equation will be   y = 2/3x + 3

3 0
3 years ago
Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 5
Fynjy0 [20]

Answer:

a(6) = 37.97

Step-by-step explanation:

If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is

a(n) = 5*r^(n - 1).

Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97

5 0
2 years ago
The equation of a line is y= -1/2x - 2. What is the equation of the line that is perpendicular to the first line and passes thro
Fed [463]
If two line are perpendicular. The multiply of their slopes are equal to -1. 
First line's slope is: -1/2x because if the line equation is form of y=ax+b a is slope. 
Let say second line's slope is m
m.-1/2=-1  so m=2 
y=ax+b is general form of linear function/equation. (a=slope)
y=2x+b 
If this line passes through the point (2,-2),if we write -2 to y and 2 to x, the equation becomes true. 
-2=4+b
b=-6 
Thus, 
y=2x-6 is true answer.

3 0
3 years ago
How many $ pound hamburgers can be made from 2 1 pounds of ground beef?​
Andrew [12]

Answer:

5.25 dalors

Step-by-step explanation:

Callculate the problem

4 0
3 years ago
What is a the positive solution of x^2 - 36 =5x​
Minchanka [31]

Answer:

<h2>x = 9</h2>

Step-by-step explanation:

x^2-36=5x\qquad\text{subtract}\ 5x\ \text{from bot sides}\\\\x^2-5x-36=0\\\\x^2+4x-9x-36=0\qquad\text{distribute}\\\\x(x+4)-9(x+4)=0\\\\(x+4)(x-9)=0\iff x+4=0\ \vee\ x-9=0\\\\x+4=0\qquad\text{subtract 4 from both sides}\\\\x=-40

3 0
3 years ago
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