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MArishka [77]
2 years ago
11

What is the equation of the line passing through the points (4, -7.5) and (6, -3.5) in slope-intercept form?

Mathematics
1 answer:
Ratling [72]2 years ago
6 0

Answer:

Your answer will be

y=2x-15.5

Step-by-step explanation:

Hi, there you must know the slope-intercept form which is

y=mx+b

m=slope

b=y-intercept

You can also use

the slope formula which is

\frac{y_2-y_1}{x_2-x_1}

in this case

it will look like this

\frac{-7.5-(-3.5)}{6-4}=\frac{-4}{2}=-2

So the slope is -2

Now we will find the y-intercept

-7.5=2(4)+b

-7.5=8+b   Subtract 8 both sides

-15.5=b

Your y-intercept is -15.5

Hope this helps

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3 years ago
Danny, a grade 10 math student, completed the following chart. Review Danny's work. If there
Leviafan [203]

Answer:

\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}

Step-by-step explanation:

The given numbers and their categories are;

1) -3\dfrac{3}{9}  is not a natural number, because, natural numbers are whole number positive integers. It is not an integer, because it is a fraction.

It is a real number, because it has no imaginary part and it is a rational number because it can be expressed as a fraction

2) √11 is not a rational number, because it cannot be expressed as a fraction, and it is real number because it has no imaginary parts.

Therefore, is an irrational and real number

3) 125; The options selected are correct

4) 4·∛125 = 4 × 5 = 20; The options selected are correct

5) 7.\overline {17} = 710/99; Therefore, 7.\overline {17} is a rational number and it is also a real number as all natural, whole, integers, rational, and irrational numbers are real numbers

We get;

\begin{array}{ccccccc}&Natural&Whole &Integer&Rational&Irrational&Real\\-3\dfrac{3}{9}&&&& \checkmark&&\checkmark\\\sqrt{11} &&&&&\checkmark &\checkmark\\125&\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\4\cdot \sqrt[3]{125} &\checkmark&\checkmark&\checkmark&\checkmark&&\checkmark\\7.\overline {17} &&&& \checkmark&&\checkmark\end{array}

6 0
3 years ago
Solve each of the following pairs of simultaneous equations by using substitution X+5y=8
White raven [17]
<span>x+5y=8  ----------------- (1)

</span>y=3x      ----------------- (2)

Substitute (2) into (1):

x + 5(3x) = 8

Distribute 5:
x + 15x = 8

Combine like terms:
16x = 8

Divide both sides by 16:
x = 0.5 

Substitute x = 0.5 into (2):

y = 3(0.5) 

Distribute 3
y = 1.5

Answer: x = 0.5, y = 1.5
8 0
3 years ago
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