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Maurinko [17]
3 years ago
10

What is the equation of the line in slope-intercept form?

Mathematics
2 answers:
Anna35 [415]3 years ago
5 0
<span>To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y -intercept--this should be of the form (0, b) . ... Therefore, the equation for this line is y = - x + 2 .</span>
Viktor [21]3 years ago
5 0
First, we need to find the slope.

I'm using rise over run. From point (-2,0) to (0,5)

Rise: 5 Run: 2

5/2 or 2.5

Put it into point-slope form: (-2,0)

y-y1= m(x-x1)

y-0= 2.5(x-2)

Distribute.

y= 2.5x-5 <----slope intercept form y=mx+b

I hope this helps!
~kaikers
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In figure 2, find x if the perimeter is 4. Does each answer make sense? Why or why not?
stealth61 [152]

The value of x is equal to 1.5.

It is required to find x.

<h3>What is quadratic equation?</h3>

Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.

Given that:

So for the triangle, the perimeter would be:

(x^{2} +x+3)+(x^{2} +2x-2)+(x^{2} +2x-9)=4

By solving in above equation, we get

(x^{2} +x+3)+(x^{2} +2x-2)+(x^{2} +2x-9)=4\\\\\\\2x^{2}+5x-8=4\\\\2x^{2}+5x-12=0\\\\2(x + 4)(x - 1.5)=0\\\\ x=-4\\\\ x=1.5

So, we take x= 1.5 and neglect -4 because we can't take negative roots of the quadratic equation.

Hence, the value of x is equal to 1.5.

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8 0
2 years ago
Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?
Sauron [17]

The graph of a function f(x) = ∛x is shown in the picture, and the domain of the function will be all real numbers.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have a function:

f(x) = ∛x

The domain of the function will be all real numbers.

x ∈(-∞, ∞)

The graph will be curved.

Plug x = 0, y = 0

x = 1, y = 1

The graph is shown in the attached picture.

Thus, the graph of a function f(x) = ∛x is shown in the picture, and the domain of the function will be all real numbers.

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6 0
1 year ago
If each point in the diagram can act as an endpoint, how many distinct line segments can be formed using the set of points
sdas [7]

Answer:

Option D 6 is the answer.

Step-by-step explanation:

the given points are A, D, C and B. If each point in the diagram can act as end points, we have to calculate number of distinct line segments formed.

This ca be calculated in two ways.

(1) We will form the line segments

AB, AC, AD, BC, BD, DC

Therefore 6 segments can be formed.

(2) By combination method

Number of segments = ^{4}C_{2}

= \frac{4!}{2!2!}=\frac{4\times 3\times 2\times 1}{(2\times 1)\times (2\times 1)}

= \frac{4\times 3}{2\times 3}=\frac{12}{2}

= 6

Option D 6 is the answer.

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