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EastWind [94]
3 years ago
6

Write an equation of the line passing through (-3,4) and (6,5) and give the answer in standard form

Mathematics
1 answer:
Andru [333]3 years ago
3 0
Let's start by putting it into slope-intercept form, which is
y=mx+b where m=slope and b=y-intercept (the value of y when x=0)

Find the slope between (-3, 4) and (6, 5).
Formula for slope: m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}
Plug in our x and y values...
m=\frac{5-4}{6-(-3)}=\frac{1}9
Our slope is 1/9.

We can interpret this slope rise/run = 1/9 as
<em>"When y changes by 1, x changes by 9. (and vice versa)"
</em>We want to find the y-intercept. (the value of y when x=0)
Let's take the point (-3, 4).
We want to add 3 to that x to make it 0.
According to our slope, this means adding 1/3 to y. (1 to 9 = 1/3 to 3)
Our y-intercept is at (0, 4 1/3), with the value we use in our eqn. b = 4 1/3.
Let's use an improper fraction, b = 13/3.

Now our equation is y=\frac{1}9x+\frac{13}3
Let's convert to standard form, ax+by+c=0.
Just multiply by the LCD of our fractions (in this case, 9)
9y=x+39
Now move everything to the left side.
\boxed{-x+9y-39=0}
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Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?
ch4aika [34]
I have my notes here that will help you in answering the problem:

Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function<span>is odd.
</span>
I hope my answer has come to your help. God bless and have a nice day ahead!
7 0
3 years ago
I need the answer to this problem. For math 3(5y+2)
Anni [7]

Answer:

15y +6

Step-by-step explanation:

3(5y+2)

Distribute

3*5y +3*2

15y +6

6 0
3 years ago
Find the degree of the polynomial<br> 5x^3+7x^2-9
Fantom [35]

Answer:

The degree of the polynomial is 3.

6 0
3 years ago
What is the absolute value of the complex number -4-√2
Zepler [3.9K]
|a+bi| = √(a² + b²)

-4-√2 i -> take a = -4 and b = -√2

|-4-√2 i| = √[ (-4)² + (<span>-√2)² ]
               = </span><span>√[ 16 + 2<span> ]
               </span></span><span>= √[ 18 ]</span> = <span>√[ 9 * 2 ]
               = 3√2
the absolute value is 3√2</span>

6 0
3 years ago
Nola purchased 2.5 pounds of cheese for 10.50. Her mother purchased 3pounds of the same cheese for$12.60. The cost of cheese var
Dennis_Churaev [7]

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

5 0
3 years ago
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