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3 years ago

Which equation models a line that passes through point (-2,2) And has a slope of -8

1 answer:

8 0

So we will be using $y=mx+b$ form, in which m = slope and b = y-intercept. Since we know the slope (-8), all we need to do is solve for the y-intercept. We can do this by inserting (-2,2) into the equation and solve for b.

$2=-8(-2)+b$

Firstly, do the multiplication: $2=16+b$

Next, subtract 16 on both sides, and your answer will be -14 = b

Using the previous info we have, our equation is y = -8x - 14

You might be interested in

Evaluate k(x) = -k - 7 when k(-4)

FinnZ [79.3K]

Answer:

I'm not sure but i think that it's

x= -7

Hope this helps

8 0

3 years ago

The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

3 years ago

In most environments and cells themselves, there are

Salsk061 [2.6K]

Answer:

The cells membrane is selectively permeable, meaning only certain substances can easily pass through it. Only small, non polar molecules can easily pass through the small spaces between the hydrophobic heads and phospholipids. Water would have trouble due to it being a polar molecule. Proteins and carbs are quite large, making it difficult for them to pass through. Salt, which ionizes water, would also have difficulty passing through as it is a charged particle. Oxygen, on the other hand, is a non polar molecule that is small, so it can easily pass through the phospholipid bilayer.

Step-by-step explanation:

6 0

3 years ago

What is the equation of the graph below? A graph shows a parabola that opens up with a vertex at negative three comma negative o

Tomtit [17]

Answer:

$y=(x+3)^2-1\\y=x^2+6x+8$