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Kryger [21]
3 years ago
15

Write an equation of the graph (shown below) in slope intercept form.

Mathematics
1 answer:
kvasek [131]3 years ago
5 0

Answer:

Step-by-step explanation:

Okay! so first, let's specify the components of a slope intercept form equation.

We got y=mx+b as a general formula, where m is slope and b is the y intercept.

The graph gives us two points on the line at (0, 5) and (-6, 7)

To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!

\frac{y_{2}-y_{1}}{x_{2}-x_{1} }

Plugging in the points into the equation, we get 2/-6, or -1/3

we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.

The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.

y=mx+b

y=-1/3x+5

You might be interested in
X^2 + 7x – 18 = 0<br> a<br> {–2, 9}<br> b<br> {–9, 2}<br> c<br> {2, 9}<br> d<br> {–2, –9}
Sedaia [141]

Answer:

b)-9,2

Step-by-step explanation:

x^2+7x-18=0

x^2+9x-2x-18=0

x(x+9)-2(x+9)=0

(x+9)(x-2)=0

therefore

x=-9

x=2

6 0
3 years ago
What is the sum of all values of m that satisfy 2m (squared) -16m+8=0?
vodomira [7]
<h2>Steps:</h2>

So for this, we will be completing the square to solve for m. Firstly, subtract 8 on both sides:

2m^2-16m=-8

Next, divide both sides by 2:

m^2-8m=-4

Next, we want to make the left side of the equation a perfect square. To find the constant of this perfect square, divide the m coefficient by 2, then square the quotient. In this case:

-8 ÷ 2 = -4, (-4)² = 16

Add 16 to both sides of the equation:

m^2-8m+16=12

Next, factor the left side:

(m-4)^2=12

Next, square root both sides of the equation:

m-4=\pm \sqrt{12}

Next, add 4 to both sides of the equation:

m=4\pm \sqrt{12}

Now, while this is your answer, you can further simplify the radical using the product rule of radicals:

  • Product rule of radicals: √ab = √a × √b

√12 = √4 × √3 = 2√3.

m=4\pm 2\sqrt{3}

<h2>Answer:</h2>

In exact form, your answer is m=4\pm \sqrt{12}\ \textsf{OR}\ m=4\pm 2\sqrt{3}

In approximate form, your answers are (rounded to the hundreths) m=7.46, 0.54

6 0
4 years ago
Subtract.
faltersainse [42]
18 1/2 -17 3/4
= 18.50 -17.75
= 0.75
= 3/4

The 4th selection is appropriate.
5 0
3 years ago
Select all number that fall between 7 and 8
Aliun [14]

Answer:

7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 7.7, 7.8, and 7.9

Step-by-step explanation:

There is no whole number, but there are decimals that fall in between 7 and 8.

~theLocoCoco

6 0
3 years ago
Which is best estimate of the circumference of this circle when radius is 3
nydimaria [60]

Answer:

D/About 18.85

Step-by-step explanation:

So, Using the Circle Circumfrince Formula:

A=2\pi r\\A=6\pi \\A=18.85....

There you go!

Hope this helps!

P.S. Stay Safe!

4 0
3 years ago
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