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3 years ago

What equation in slope-intercept form represents the line that passes through the points

Mathematics

1 answer:

Mumz [18]3 years ago

8 0

<h2>Answer: y = - x + 1 </h2>

<h3>Step-by-step explanation: </h3>

For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:

The question gives us two points, (-3, 4) and (2, -1), from which we can find the slope and later the equation of the line.

<u>Finding the Slope</u>

The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)

= (4 - (- 1)) ÷ ((-3) - 2)

= - 1

<u>Finding the Equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

⇒ y - (-1) = - 1 (x - 2)

y + 1 = - (x - 2)

we could also transform this into the slope-intercept form ( y = mx + c) by making y the subject of the equation:

since y + 1 = - (x - 2)

∴ y = - x + 1

<em>To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.</em>

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velikii [3]

This does not make sense,May you put it a little more clear?

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3 years ago

What information is needed in order to apply the hypotenuse-leg (HL) theorem

Lorico [155]

Answer:

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3 years ago

The table shows three values of x and their corresponding values of f (x) for a linear function f, such that f (r) = 0 and f (0)

Rus_ich [418]

Using a linear function, it is found that the product rs is rs = 81.

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

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

In this problem, when x changes by 68(from -64 to 68), y changes by -16(from 12 to -4), hence the slope is given by:

m = -16/64 = -0.25.

Hence:

y = -0.25x + b.

When x = 34, y = -4, hence this is used to find b.

-4 = -0.25(34) + b

b = 4.5.

Hence the function is:

y = -0.25x + 4.5.

f(r) = 0, hence:

-0.25x + 4.5 = 0

x = 4.5/0.25

x = 18

r = 18.

f (0) = s, hence s = 4.5.

Then the value of the product is:

rs = 18 x 4.5 = 81.

More can be learned about linear functions at brainly.com/question/24808124

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2 years ago

A factory made 845 pairs of shoes in January. These shoes were sent to three shoe stores and one outlet mall. The number of pair

Semenov [28]

Answer=65 pairs of shoes

Given the data, the following equation can be made where x is equal to the number of shoes sent to the outlet mall.

845=4x+4x+4x+x
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65=x

65 pairs of shoes were sent to the outlet mall

7 0

3 years ago

Read 2 more answers

Consider the equation Y=-2x+5 Create a table of five ordered pairs that satisfy the equation. What is the slope of the line repr

Vikentia [17]

Five pairs of points (X,Y) that satisfy the equation Y=-2X+5 may be the following:

For X=0: Y=-2*0+5=5 (0,5)

For X=1: Y=-2*1+5=3 (1,3)

For X=2: Y=-2*2+5=1 (2,1)

For X=3: Y=-2*3+5=-1 (3,-1)

For X=4: Y=-2*4+5=-3 (4,-3)

The slope of the function is m=-2. Correct answer: C

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3 years ago