What is the y-intercept of the line with equation 3y - 4x = 9?

Mathematics

2 answers:

BabaBlast [244]3 years ago

7 0

Answer: (0, 3)

Step-by-step explanation: To find the y-intercept, we can plug a 0 in for x.

So we have 3y - 4(0) = 9.

This simplifies to 3y = 9.

Dividing both sides by 3, we find that y = 3.

So our y-intercept is 3 which we can write as the ordered pair (0, 3).

USPshnik [31]3 years ago

4 0

Y-intercept: 9/3=3

explication:
the value of y is 3/1 so this line "cuts" the y axis at y= 3.00000

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Use synthetic division to find P (-10) for P(x)=2x^3+14x^2-58x

Savatey [412]

The polynomial remainder theorem states that the remainder upon dividing a polynomial $p(x)$ by $x-c$ is the same as the value of $p(c)$ , so to find $p(-10)$ you need to find the remainder upon dividing

$\dfrac{2x^3+14x^2-58x}{x+10}$

You have

..... | 2 ... 14 ... -58
-10 | ... -20 ... 60
--------------------------
..... | 2 ... -6 .... 2

So the quotient and remainder upon dividing is

$\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}$

with a remainder of 2, which means $p(-10)=2$ .

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3 years ago

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How do you solve this equation?<br>step by step...<br>-9(x-9)=252

katovenus [111]

Well think about it this way -9 times what equals 252 you already know x is going to be a negative number because the outcome is positive so try doing the problem backwards 252/-9=-28 so x=-28

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3 years ago

What is the slope of the line that passes through (2, 12) and (4, 20)?On the graph of the equation 3x + 2y = 18, what is the val

Paha777 [63]

Answer: The slope of the line that passes through (2, 12) and (4, 20) is 4.

The value of the y-intercept is 9.

Step-by-step explanation:

Slope of line passing through (a,b) and (c,d) = $\dfrac{d-b}{c-a}$