What is the slope in the line shown below.

Answer:

Step-by-step explanation:

y=4/3 x +b

goes through the point (1,3)

3=4/3(1)+b

b=3-4/3

b=9-4/3

b=5/3

equation : y=4/3 x +5/3

The graph of the line with slope of 4/3 and goes through the point (1,3) is shown in attached figure.

What is Equation of line?

The equation of line with slope m and passes through the point (x₁, y₁) is given as;

y - y₁ = m (x - x₁)

Given that;

The slope of line = 4/3

And, Point on line = (1, 3)

Since, The equation of line with slope m and passes through the point (x₁, y₁) is given as;

y - y₁ = m (x - x₁)

Thus, The equation of line with slope 4/3 and passes through the point (1, 3) is given as;

y - 3 = 4/3 (x - 1)

Solve as;

3 (y - 3) = 4 (x - 1)

3y - 9 = 4x - 4

3y = 4x - 4 + 9

3y = 4x + 5

y = 4/3x + 5/3

Thus, The equation of line will be;

y = 4/3x + 5/3

So, The graph of the line y = 4/3x + 5/3 is shown in attached figure.

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Answer:

12

Step-by-step explanation:

according to the pythagorous theorem

Answer:

2(x+4) + 2(2x-7) = 42 ( If this is wrong simplify this)

Step-by-step explanation:

The formula for perimeter is (2 x length) + (2 x width), so our equation would be 2(x+4) + 2(2x-7) = 42

Answer:

4.8 miles

Step-by-step explanation:

Set up a ratio, Kelvin.

6/55 = x/44

55x = 6(44)

55x = 264

x = 264/55 = 4.8 miles

Answer:

the amount remaining in brocks checking account is $2290. 3084 - 350 - 275 - 169 = 2290

Linda has $831 in her savings. 2312 - 157 - 322 - 478 - 234 - 290 = 831

Answer:

the amount remaining in Brocks account is 2,290

the amount remaining in Linda's is 353

Step-by-step explanation:

i found the amount by Subtracting

Answer:

96

Step-by-step explanation:

Given

- 8 × - 6 × 2 ( the product of 2 negatives is a positive )

= 48 × 2

= 96

Answer:

Im pretty sure its C

Step-by-step explanation:

Hope you get it right! :)

The constant of proportionality of a line is also referred to as its slope. The graph shows a constant of proportionality of 2 is the Graph C

The constant of proportionality of a line is also referred to as its slope. Hence according to the question, we are to determine the line that has a slope of 2.

The formula for calculating slope of a line is expressed as:

Slope = y2-y1/x2-x1

Using the graph with coordinate points (3, 6) and (1, 2). The slope of the line is expressed as:

Slope = 2-6/1-3
Slope = -4/-2
Slope = 2

Hence the graph shows a constant of proportionality of 2 is the Graph C

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Answer:

If is in that form (the blue part ) ,then the answer is that one

Answer:

A

Step-by-step explanation:

Because when a expression or number is multiplied by another expression or number it makes a equation

Answer:

(1,-13) (4,-1) (7,11)

Step-by-step explanation:

Those are all the correct order pairs!!

hope this helps!

Answer:

Proportional

Step-by-step explanation:

Here, we want to know if the distance at the given time will be proportional

What we will do here is to simply divide the distance by the time

Mathematically, that will be 55 miles/ 5 hours = 11 miles / hour

So this means that in an hour, 11 miles will be traveled

This expression is proportional

Answer:

0.48

Step-by-step explanation:

Multiply 0.6 and 0.8 to get 0.48.

0.48

Answer:

5a+8+(-2a)=-7

5a+8-2a=-7

5a-2a=-7-8

3a=-15

3a/3=-15/3

a=-5

Answer:

a = -5

Step-by-step explanation:

Simplify both sides:

5a + 8 + (-2a) = -7

(5a + -2a) + 8 = -7

3a + 8 = -7

Start solving for a by subtracting 8 from both sides

3a+8-8 = -7 - 8

3a = -15

Next, divide both sides by 3

3a/3 = 1

-15/3 = -5

a = -5

Answer:

=[7]+|-3| solve for the absolute value {-3 ->3}

=7+3

=10

Answer:

10

Step-by-step explanation:

Whenever you see those numbers in those specific brackets, it's asking for the absolute value of that number.

The absolute value is the distance from 0.

So, if you see -3 in those brackets, it's 3 because both -3 and 3 are 3 spaces from 0.

So 7 + 3 = 10.

Answer:

sqaure root of 11

5

6

square root of 40

Step-by-step explanation:

square root of 11- 3.31

sqaure root of 40- 6.32

6

5

hope this helps :)

Answer:

5.9 hours

Step-by-step explanation:

Answer:

(0,1)

Step-by-step explanation:

moving right 2 units makes it (0,-3)

moving up 4 units makes it (0,1)

Answer:

X= -5x hope this helped :)

Answer:

34

Step-by-step explanation: goes up in 7's

Answer:

The first one would be the third one and the second one would be the second one.

Step-by-step explanation:

The first quadrant is a (Positive, Positive), the second one is a (Negative, Positive), the third one is a (Negative, Negative) and the fourth one is a (Positive, Negative)

Answer:

We kindly invite you to see the image attached for further details.

Step-by-step explanation:

From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:

[tex]y =m\cdot x +b[/tex] (Eq. 1)

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]m[/tex] - Slope, dimensionless.

[tex]b[/tex] - y-Intercept, dimensionless.

At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):

[tex]b = y-m\cdot x[/tex]

If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:

[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]

[tex]b = -\frac{7}{3}[/tex]

Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].

Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.

Answer:

No solution

Step-by-step explanation:

if you replace the y with -2x-6 into the first equation, you will get rid of the x's which it gives you the hint that there is no solution.

Answer:

( y-b) / m    +a = x

Step-by-step explanation:

y−b=m(x−a)

Divide each side by m

(y−b)m=m/m(x−a)

( y-b)/m  = x-a

Add a to each side

( y-b) / m +a = x-a+a

( y-b) / m    +a = x

Answer:

y − b = m(x − a)

y − b = mx - ma

(y - b) / m = x - a

((y-b)/m) + a = x

Answer:

Sorry you will have to clarify more on the width I do not under stand :/

Step-by-step explanation:

Answer: A=14

Step-by-step explanation: 1 foot = 12 inches so 30 feet = 20 inches which is 30 - 10 so 24 - 10= 14

Answer:

-12

Step-by-step explanation:

Answer:

[tex] \frac{71}{2} \div ( \frac{41}{2} - \frac{51}{8} )[/tex]

[tex] \frac{71}{2} \div ( \frac{164 - 51}{8} )[/tex]

[tex] \frac{71}{2} \div \frac{113}{8} [/tex]

[tex] \frac{71}{2} \times \frac{8}{113} [/tex]

[tex] \frac{284}{113} [/tex]