1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sdas [7]
2 years ago
9

Write the equation of the line in the form Y = MX where M is the slope.

Mathematics
1 answer:
Ainat [17]2 years ago
4 0

Answer:

We conclude that the equation of the line in the form y = mx + b will be:  y=\frac{1}{2}x

Step-by-step explanation:

From the given graph, taking two points

  • (0, 0)
  • (10, 5)

Important Tip:

The slope-intercept form of the line equation

y = mx+b

where

  • m represents the slope
  • b represents the y-intercept

1 of 3 steps:

Determine the slope

We need to find the slope of the line containing the points (0, 0) and (10, 5)

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

where m is the slope between (x₁, y₁) and (x₂, y₂)

In our case,

  • (x₁, y₁) = (0, 0)  
  • (x₂, y₂) = (10, 5)

substituting (x₁, y₁) = (0, 0) and (x₂, y₂) = (10, 5) in the slope formula

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

m=\frac{5-0}{10-0}

Refine

m=\frac{1}{2}

Thus, the slope of the line containing the points (0, 0) and (10, 5) is: m=\frac{1}{2}

2 of 3 steps:

Determine the y-intercept

We can determine the y-intercept by determining the value of y at x = 0.

From the graph, it is clear that at x = 0 the value of y = 0.

Thus, the y-intercept of the line is: b = 0

3 of 3 steps:

Substitute the values in the slope-intercept form

Substitute the values m=\frac{1}{2} and b = 0 in the slope-intercept form

y = mx+b

y\:=\:\frac{1}{2}x+0

y=\frac{1}{2}x

Conclusion:

Therefore, we conclude that the equation of the line in the form y = mx + b will be:  y=\frac{1}{2}x

You might be interested in
Can i please have help with this question<br> brainliest for answer
zaharov [31]

Answer:

yes I can help

Step-by-step explanation:

which one please

3 0
2 years ago
Will mark brainliest if get the correct answer.
Savatey [412]

Answer:

Perimeter of rectangle before folded = 56 in

Total area after folding = 156 sq in

Step-by-step explanation:

Rectangle before folded:  l = 16 and w = 12

                                           P = 2(16) + 2(12) = 32 + 24 = 56 in.

Figure after folding:   Area of trapezoid + area of rectangle

Area of trapezoid = h(b_{1} + b_{2})/2 = 6(4 + 16)/2 = 60

Area of rectangle = lw = 16(6) = 96

Total area after folding = 60 + 96 = 156 sq in.

Note:  You could also find the area after folding by substracting the areas of the two triangles in the corners from the area of the original rectangle.  Your choice.  OK?

8 0
2 years ago
7w + w - 15 = 17 solve the equation. Check the solution
Rasek [7]

Answer:

Step-by-step explanation:

7w+w-15=17

8w=17+15  add like terms

8w=32 divide

w=32/8=4

now check

7*4+4-15=17

28+4-15=17

17=17

7 0
3 years ago
HELP PLEASE !! NEED HELP ASAPPP !! Will give brainliest !!!
drek231 [11]

Answer:

1. 37° 2. 140

Step-by-step explanation:

They are supplementary angles, so the angle measures equal a straight line, or 180 degrees. 180 - 143 = 37

3 0
3 years ago
Whats the answer 9(k + 2) = 99
Fofino [41]

Answer:

10.8

Step-by-step explanation:

9k+2=99

-2     -2

9k=97

k=10.8

7 0
3 years ago
Read 2 more answers
Other questions:
  • Jennifer had 7/8 foot board she cut off 1/4 foot peice that was for a project.in feet how much board was left?
    10·1 answer
  • I have 3 digits. If I round to the nearest hundred, I am 200. Multiply my ones digit by 2 and you get my tens digit. Both my one
    15·1 answer
  • Find the slope of each line 2-3. please help thank you.
    9·1 answer
  • (-3/4)^5 Please help ASAP!!!
    13·2 answers
  • Justin made $204 for 12 hours of work. At the same rate, how much would he make for 18 hours of work?
    10·1 answer
  • The product of 0.6 and a number is 31.8 more than the number . Find the number
    13·1 answer
  • 736•(119-166)+726-34
    14·2 answers
  • 1,000
    9·1 answer
  • I WILL MARK BRAINLIEST
    14·1 answer
  • Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!