Explain the summary of slope _intercept equation ​

8 answers
Question:

Explain the summary of slope _intercept equation

Answers

The slope-intercept form is simply the way of writing the equation of a line so that the slope (steepness) and y-intercept (where the line crosses the vertical y-axis) are immediately apparent. Often, this form is called y = mx + b form. hope this helps pls pls give me brainliest

Step-by-step explanation:

[tex]\boxed{y=\frac{1}{2} x+2}[/tex]

Step-by-step explanation:

Let's take any of the coordinates of blue line to find the slope

The coordinates are (4,4) and (0,2)

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{2-4}{0-4}[/tex]

Slope = [tex]\frac{-2}{-4}[/tex]

Slope = m = 1/2

Y-intercept = b = 2 (Because here x= 0)

So, the slope intercept equation becomes:

=> [tex]y = mx+b[/tex]

=> [tex]y = \frac{1}{2} x+2[/tex]

Therefore, the slope-intercept form of the blue line is

[tex]y = \frac{1 }{2}x + 2[/tex]

Comparison:

The blue and black lines both have equal y-intercept but different slopes.

The black line is steeper than blue line which means the black line has a greater slope than the blue line.

Step-by-step explanation:

Please refer to the attached graph of this question where we have two straight lines.

The slope-intercept form is given by

[tex]y = mx + b[/tex]

Where m is the slope of the line and b is the y-intercept.

Let us find the slope of the blue line from the points given in the graph.

[tex](x_1, y_1) = (0,2) \\\\(x_2, y_2) = (4,4) \\\\[/tex]

The slope is given by

[tex]m = \frac{y_2 -y_1 }{x_2 -x_1} \\\\m = \frac{4 -2 }{4 -0} \\\\m = \frac{2 }{4} \\\\m = \frac{1 }{2} \\\\[/tex]

The y-intercept is given by

[tex]y = \frac{1 }{2}x + b \\\\2 = \frac{1 }{2}(0) + b \\\\b = 2[/tex]

Therefore, the slope-intercept form of the blue line is

[tex]y = \frac{1 }{2}x + 2[/tex]

Comparison:

The blue and black lines both have equal y-intercept but different slopes.

The black line is steeper than blue line which means the black line has a greater slope than the blue line.


[tex]Write the slope-intercept form (y=mx + b) of the blue line. Explain or show your work. Write a one s[/tex]

uv in bb andjl gvb b him. nl. b if you use ycn

y = 1/2x + 2

Comparison: The black and blue line haver the same y-intercept, however they have different slopes. The slope of the black line is 2/3 and the slope of the blue line is 1/2.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

y=1/2x+2(2 is the y-intercept)

The blue line and black line have the same y-intercept, but the black line has a slope 1/6 greater than the blue line.

Hope it helps <3

36

step-by-step explanation:

need more information

step-by-step explanation:

Similar Solved Works

10 answers

What is the power of 10 when 157,821 is written in scientific notation?

What is the power of 10 when 157,821 is written in scientific notation?...
1 answer

Evaluate 66 - 20 - 32 1/4

Evaluate 66 - 20 - 32 1/4...
4 answers

Find the perimeter of the following polygon. be sure to include the correct unit in your answer

Find the perimeter of the following polygon. be sure to include the correct unit in your answer...
3 answers

A marketing research firm wishes to compare the prices charged by two supermarket chains—Miller’s and Albert’s. The research

A marketing research firm wishes to compare the prices charged by two supermarket chains—Miller’s and Albert’s. The research firm, using a standardized one-week shopping plan (grocery list), makes identical purchases at 10 of each chain’s stores. The stores for each chain are randomly select...
9 answers

It is common for people to make generalizations about other cultures. for example: all french people wear 'berets' or all

It is common for people to make generalizations about other cultures. for example: all french people wear "berets" or all canadians play hockey. are they fair and accurate generalizations? if so why and if not, why not? discuss in english why these generalizations are made. think of two other gen...
4 answers

Select two sentences from paragraph 14 of Passage 2 that support the idea that the current generation

Select two sentences from paragraph 14 of Passage 2 that support the idea that the current generation of baby boomers are better off financially than their parents....
4 answers

In section 3.5.4 , we discussed the doubling of the timeout interval after a timeout event. this mechanism

In section 3.5.4 , we discussed the doubling of the timeout interval after a timeout event. this mechanism is a form of congestion control. why does tcp need a window-based congestion-control mechanism (as studied in section 3.7 ) in addition to this doubling-timeoutinterval mechanism?...
4 answers

How much had the value of y changed between the points (-8,4) and (8,-4)

How much had the value of y changed between the points (-8,4) and (8,-4)...
3 answers

What is the equation of a parabola with a focus of (8,2) and a directrix of x=6? 1. 4(x-7)=(y-2)²2.

What is the equation of a parabola with a focus of (8,2) and a directrix of x=6? 1. 4(x-7)=(y-2)²2. 4(x+7)=(y+2)²3. 4(x-2)=(y-7)²4. 4(x+2)=(y+7)² show...
8 answers

Name the congruent triangles and justify the reason for congruence.ΔABC ≅ ΔFDE by HLΔABC ≅

Name the congruent triangles and justify the reason for congruence. ΔABC ≅ ΔFDE by HL ΔABC ≅ ΔEDF by ASA ΔABC ≅ ΔFED by HL ΔABC ≅ ΔFED by ASA [tex]Name the congruent triangles and justify the reason for congruence. ΔABC ≅ ΔFDE by HL ΔABC ≅ ΔEDF[/tex]...
3 answers

Natasha and Richard are marking exam papers. Each set takes Natasha 45 minutes and Richard 1 hour. Express the times Natasha and Richard

Natasha and Richard are marking exam papers. Each set takes Natasha 45 minutes and Richard 1 hour. Express the times Natasha and Richard take as a ratio. Give your answer in its simplest form....
3 answers

. Escriba una lista de 10 a 20 rasgos de clase que describan el entorno de su crianza. ¿Cuáles de estos parecen verdaderos rasgos de

. Escriba una lista de 10 a 20 rasgos de clase que describan el entorno de su crianza. ¿Cuáles de estos parecen verdaderos rasgos de clase y cuáles parecen estereotipos? ¿Qué elementos pueden pertenecer a ambas categorías? ¿Cómo imagina que un sociólogo podría abordar la combinación de ra...
3 answers

What is the percent by mass of aspartame in iced tea that has 0.75 g of aspartame in 250 g of water?

What is the percent by mass of aspartame in iced tea that has 0.75 g of aspartame in 250 g of water?...
3 answers

You borrow $500 to buy a computer. the simple interest rate is 15%. you pay off the loan after 4 years.

You borrow $500 to buy a computer. the simple interest rate is 15%. you pay off the loan after 4 years. how much do you pay for the loan?...
3 answers

Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff

Calculate the height of a cliff if it takes 2.35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.00 m/s. express your answer in m to at least 3 significant digits....
3 answers

Can you answer this question from book one: the coming of the martians chapter one: the eve of the war,

Can you answer this question from book one: the coming of the martians chapter one: the eve of the war, excerpt in three to five complete sentences, explain why the inhabitants of mars are interested in earth. use information from the text to support your answer....
10 answers

Groups of stars that contain the greatest numbers of stars are? select one: a. globular clusters.

Groups of stars that contain the greatest numbers of stars are? select one: a. globular clusters. b. open clusters. c. star systems. d. galaxies....
10 answers

Free points but twice ;).Will brainlist anyone who keeps train going

Free points but twice ;). Will brainlist anyone who keeps train going...
3 answers

AccidentsD. COMPLETION QUESTIONS:1. Stock shorter than ___inches should not be run on the jointer.

Accidents D. COMPLETION QUESTIONS: 1. Stock shorter than ___ inches should not be run on the jointer....
3 answers

Residents of a South American country are not allowed to convert their currency into other currencies. However, all foreign businesses

Residents of a South American country are not allowed to convert their currency into other currencies. However, all foreign businesses with deposits in banks there may, at any time, convert all their currency into foreign currency and take it out of the country. The currency in this country is...

-- 0.013643--