All categories

3 years ago

Complete the equation of the line through (2,1) and (5,-8) WORTH 20 POINTS

Mathematics

2 answers:

ale4655 [162]3 years ago

7 0

Answer:

First we calculate the slope (which is called "m".

Slope = m = (Y2 -Y1) ÷ (X2 -X1)

m = (-8 -1) / (5 -2) = -9 / 3 = -3

We next fill in this equation: b = y -mx

We know m = -3 and we can choose a point (2, 1) to calculate "b"

b = 1 --3 * 2 b = 7

Putting this into y = mx +b

y = -3x +7

s2008m [1.1K]3 years ago

6 0

This is pretty much what it is- when you do it try to get your lines straighter

You might be interested in

Let f(x)=3x-6 and g(x)=x-2. Find the value of f/g and its domain

Ket [755]

F(x) = 3x - 6
g(x) = x - 2

$\frac{f(x)}{g(x)}= \frac{3x-6}{x-2} \\ \\ 
= \frac{3(x-2)}{x-2} \\ \\ 
=3$

This means the value of the ratio f(x)/g(x) will be equal to 3.

Domain of the fraction is Set of All real numbers except 2. At 2 the given fraction will be undefined as the denominator in the very first fraction will be zero. Another reason 2 is not a part of the domain is that it will make x-2 equal to zero and we cannot cancel out 0 with 0 from numerator and denominator.

In interval notation, the domain will be: (-∞,2)∪(-2 ,∞)

3 0

3 years ago

Read 2 more answers

2.2.PS-141You are running a fuel economy study. One of the cars you find is blue. It can travel 39miles on21241 gallons of gasol

svetoff [14.1K]

<h2>Answer:</h2> $\begin{gathered} \text{Unit rate of blue car = 31}\frac{3}{5}mi\text{ per gallon} \\ \text{Unit rate of red car = 28 mi per gallon} \end{gathered}$

The blue car has traveled the greater distance on one gallon of gasoline

<h2>Explanation:</h2>

The formula for calculating the unit rate is expressed as shown:

$\text{Rate = }\frac{Distance}{\text{number of gallons}}$

For the blue car

Distance = 39.5miles

Gallons of gasoline = 1.25 gallons

Get the unit rate:

$\begin{gathered} \text{Unit rate = }\frac{39.5}{1.25} \\ \text{Unit rate = 3}1.6\text{ }miles\text{ per gallon} \end{gathered}$

The unit rate of the blue car as a mixed fraction is 31 3/5 miles per gallon

For the red car

Distance traveled = 22.4 miles

Gallons of gasoline = 0.8 gallons of gasoline

Get the unit rate of the red car;

$\begin{gathered} Unit\text{ rate = }\frac{22.4}{0.8} \\ \text{Unit rate = }28\text{miles per gallon} \end{gathered}$

From the unit rates, we can see that the blue car has traveled the greater distance on one gallon of gasoline since its unit rate is greater than that of the red car.

5 0

1 year ago

How do I find the area?

MArishka [77]

Area: (base x height) divided by 2. (Or multiplied by 1/2.)
So the base of the triangle should be multiplied by the height of it. And divide the answer by two. :)

7 0

3 years ago

Is (1,2) the point of intersection of y=3x-1 and y=-x+3?

Luden [163]

Answer:

yes

Step-by-step explanation:

Solving the 2 equations to find the point of intersection

y = 3x - 1 → (1)

y = - x + 3 → (2)

Since both equations express y in terms of x, equate the right sides

3x - 1 = - x + 3 ( add x to both sides )

4x - 1 = 3 ( add 1 to both sides )

4x = 4 ( divide both sides by 4 )

x = 1

Substitute x = 1 into either of the 2 equations for corresponding value of y

Substituting x = 1 in (2)

y = - 1 + 3 = 2

Thus (1, 2) is the point of intersection

6 0

3 years ago

Strike441 [17]

Answer:

19.4

Step-by-step explanation:

that is the answer

7 0

3 years ago