Which statements accurately describe how to determine the y-intercept and the slope from the graph below?On a coordinate plane, a line goes through points (0, negative 6) and (3, 0).
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move horizontally to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.
To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction x 2 minus x 1 Over y 2 minus y 1 EndFraction.

Answers

Answer 1

Answer:

The accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

C. To determine the y-intercept, move from the origin vertically to the graphed line. To find the slope, you will use two ordered pairs on the line and substitute into the equation $\mathbf{ m = (y_2 - y_1)/(x_2 - x_1) }$ .

Recall:

The y-intercept is the point at which the graphed line intercepts the y-axis (vertical axis). The y-intercept is the value of y here.

Slope (m) = $\mathbf{(y_2 - y_1)/(x_2 - x_1) }$

You can simply find the y-intercept on a coordinate plane like the one given in the image attached below.

To do this, from the point of origin (0), you have to move towards the graphed line, that's vertically upwards, to the point where the line crosses the vertical axis.

The y-intercept in the graph shown in the image = 2.

To find the slope, use two ordered pairs on the line, i.e., (0, 2) and (1, 5). (see attached image.)

Next is to let,

$(0, 2) = (x_1, y_1)\n\n(1, 5) = (x_2, y_2)$

Then, substitute the values into $\mathbf{ m = (y_2 - y_1)/(x_2 - x_1) }$

Thus:

$m = (5 - 2)/(1 - 0) = (3)/(1) \n\n\mathbf{m = 3}$

Therefore, the accurate statement which explains how to determine the slope (m) and y-intercept (b) of a line on a coordinate plane that goes through two points is:

Learn more here:

brainly.com/question/14431998

Answer 2

Answer:

Answer:

To find the y-intercept, begin at the origin and move vertically to the graphed line. To find the slope, use two ordered pairs on the line and substitute into the equation m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction.

Step-by-step explanation:

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Write the steps for how to use a number line to multiply a 2-digit number by 20. give an example

Answers

To obtain the multiplication of $2$ digits number by $20$ first jump two times the $2$ digit number then jump $10$ times by the result we get in step 1.

Further explanation:

A straight line that has all real numbers is known as number line.

The steps involve in multiplying 2-digit number by $20$ are as follows.

1. First multiply the two digit number by 2 and the get the result.

2. Multiply the result by $10$ to obtain the final result.

For example we have to multiply $15$ by $20$ on the number line.

Following are the steps involve in multiply $15$ by $20$ on the number line.

Step 1

Multiply 15 by 2 as,

$\begin{gathered}A = 15 \cdot 2 \n= 30 \n \end{gathered}$

Make 2 jumps of 15 to get 30.

Step 2

Multiply $30$ to $10$ to obtain the final result.

$\begin{gathered}B = 30 \cdot 10 \n = 300 \n \end{gathered}$

Now make 10 jumps of 30 to get $300$ .

To obtain the multiplication of 2 digits number by $20$ first jump two times the 2 digit number then jump $10$ times by the result we get in step 1.

Kindly refer to the image attached to the question.

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1. Problem on multiplication brainly.com/question/573729

2. Problem on division brainly.com/question/545132

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Answer details:

Grade: Junior school

Subject: Mathematics

Chapter: Number line

Keywords: two digit number, number line, twenty, multiply, add, jump, examples, multiplication.

Final answer:

To multiply a 2-digit number by 20 using a number line, draw a number line, plot your 2-digit number, make jumps of 20 units equal to your 2-digit number. The end point is the product.

Explanation:

To use a number line to multiply a 2-digit number by 20, follow these steps:

First, draw a number line. You can start at 0 and end at a number that is more than the product of your multiplication.
Plot your 2-digit number on the number line.
Start from your plotted point, and make jumps of 20 units each. The number of jumps should be equal to the quantity of your 2-digit number.
The point where you land, after making the necessary jumps, is the product of your multiplication.

For example, if you want to multiply 3 by 20: plot 3 on your number line, jump 3 points of 20 units each from point 3. You will land at 60, which is the product of 3 and 20.

Learn more about Number line multiplication here:

brainly.com/question/34127166

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Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.1.4 gallons
14 gallons
91 gallons
140 gallons

Answers

14 gallons, or b.
I took the test

Answer:

The Answer is B.14

Step-by-step explanation: You get this answer by dividing 357 by 25.5 and you come out with 14 (problem) 357/25.5

Who can help me with this

Answers

If it’s an expression it would be 5(x)+3
(x is the number of people in the Garcia family.)

Original amount 85. new amount 56

Answers

There is a 29 difference between the two.

29 amount difference. The equation would be, 85-29=56.

Please help on Numbers 7&8....Due Tomorrow!!

Answers

a#b=2a-b

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1=(2×3)-b

1=6-b

collect like terms

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:.b=5

What system of inequalities is graphed below?

Answers

Answer:

Equations are y > x² - 4 and y < x² + 6.

Step-by-step explanation:

Given : Graph with two parabola.

To find : What system of inequalities is graphed below.

Solution : We have given graph

We can see from the given graph both are dotted line that mean it does not have equal sign .

We can see graph with vertex ( 0 , -4 ) are shaded up ( grater than sign ) that mean equation would be

y > x² - 4.

For upper parabola vertex is ( 0 , 6) and shaded down( less than sign) that mean equation

y < x² + 6.

Therefore,Equations are y > x² - 4 and y < x² + 6.

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