Ask question

Ask question

All categories

3 years ago

13

Need Help ASAP What is the equation of the line shown in the graph?

1 answer:

marta [7]3 years ago

5 0

The equation of a line is y = mx + b where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). we can look at the graph and see that the line crosses the y axis at y = 4. Therefore, the y-intercept, b, is 4.

Now we must calculate the slope. To do so, we divide the "rise" of the line,
y₂ - y₁ by the "run" of the line x₂ - x₁. We must choose two points (x₁, y₁) and (x₂, y₂) to find the slope. Two points are already given to us, (1, 2) and (4, -4):

m = (-4 - 2)/(4 - 1)

m = -6/3

m = -2

Now that we know the slope and the y-intercept, we can simply plug them back into the equation to find the equation of the line:

y = -2x + 4

You might be interested in

Yoooooooooooooooooooooooooo can you please help me!?

klemol [59]

She has totally 10+5+3=18 marbles, so the probability is 10/18=5/9. The complement is (9-5)/9=4/9.

Hope this helped!

4 0

3 years ago

What is 3,493 divided by 37? Please include it’s remainder, too;

qwelly [4]

94 remainder 4054054

7 0

3 years ago

Read 2 more answers

Find the average value of the function on the given interval.<br> f(x)=2 ln x; [1,e]

JulijaS [17]

Answer:

$f_{avg}=\frac{1}{e-1}$

Step-by-step explanation:

We are given that a function

$f(x)=2lnx$

We have to find the average value of function on the given interval [1,e]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{e-1}\int_{1}^{e}lnx dx$

By Parts integration formula

$\int(uv)dx=u\int vdx-\int(\frac{du}{dx}\int vdx)dx$

u=ln x and v=dx

Apply by parts integration

$f_{avg}=\frac{1}{e-1}([xlnx]^{e}_{1}-\int_{1}^{e}(\frac{1}{x}\times xdx))$

$f_{avg}=\frac{1}{e-1}(elne-ln1-[x]^{e}_{1})$

$f_{avg}=\frac{1}{e-1}(e-0-e+1)=\frac{1}{e-1}$

By using property lne=1,ln 1=0

$f_{avg}=\frac{1}{e-1}$

8 0

2 years ago

How do I find the answer for this equation 20x+15y= 330, when x+y =18

Maru [420]

U divide 330 by 15 and get the quotient then do the same thing to 20 and add the quotients together to solve for x and y

6 0

3 years ago

Guests at a pizza party are seated at three tables. The small table has 5 seats and 2 pizzas. The medium table has 7 seats and 3

bagirrra123 [75]

Answer:

the 5 seated table with the 2 pizzas got more each.

Step-by-step explanation:

$\frac{5}{2} = 2\frac{1}{y2}$ pieces each

$\frac{7}{3} = 2\frac{1}{3}$ pieces each

$\frac{12}{5} = 2\frac{2}{5}$ pieces each

Now change the fractions s that they all have a common denominator.

$2\frac{1}{2} = 2\frac{15}{30}$

$2\frac{1}{3} = 2\frac{10}{30}$

$2\frac{2}{5} = 2\frac{15}{30}$

Thus meaning that the 5 seated table with the 2 pizzas got more each.

6 0

3 years ago