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
Karolina [17]
2 years ago
10

Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ

er in the box provided to submit your solution.
(-8, 0) and (1, 5)
Mathematics
1 answer:
katen-ka-za [31]2 years ago
7 0

The equation of line through the given points is:

y=\frac{5}{9}x+\frac{40}{9}

Step-by-step explanation:

Given points are:

(-8,0) = (x1,y1)

(1,5) = (x2,y2)

The slope-intercept form of line is:

y=mx+b

We have to find the slope first

m=\frac{y_2-y_1}{x_2-x_1}\\m= \frac{5-0}{1-(-8)}\\m=\frac{5}{1+8}\\m=\frac{5}{9}

Putting the value of slope

y=\frac{5}{9}x+b

To find the value of y-intercept, we'll put the point (1,5) in the equation

5=\frac{5}{9}(1)+b\\5=\frac{5}{9}+b\\b=5-\frac{5}{9}\\b=\frac{45-5}{9}\\b=\frac{40}{9}

Putting the values of b and m in the equation

y=\frac{5}{9}x+\frac{40}{9}

The equation of line through the given points is:

y=\frac{5}{9}x+\frac{40}{9}

Keywords: Equation of line, slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/4793866
  • brainly.com/question/4824362

#learnwithBrainly

You might be interested in
Minimize embedded content
rjkz [21]

Answer:

84 cm²

Step-by-step explanation:

Surface area of the polyhedron = the sum of the areas of each parts of the net = area of 2 triangles + area of each of the 3 rectangles

Area of 2 triangles:

Base = 4 cm

Height = 3 cm

Area of the 2 triangles = 2(½*base*height)

= 2(½*4*3) = 4*3 = 12 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 4 cm

Area = length * width = 24 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 5 cm

Area = length * width = 30 cm²

Area of rectangle with the following dimensions:

Length = 6 cm

Width = 3 cm

Area = length * width = 18 cm²

Surface area of the polyhedron = 12 + 24 + 30 + 18 = 84 cm²

5 0
2 years ago
Which systems of equations intersect at point A in this graph?
Svet_ta [14]

Y = 4 x - 9

y = - 3 x - 5

I hope this will help you

i looked this up and this is what i got

6 0
2 years ago
A rock climber is planning to climb a mountain cliff over two days. The climb begins at an altitude of 6,400 feet above sea leve
Furkat [3]

Answer:

D

Step-by-step explanation:

360h+6,400 >8,020, with a solution is h> 4.

3 0
2 years ago
Which expression means "6 more than the quotient of a number and 5"?
Sindrei [870]

Answer:

C

Step-by-step explanation:

"6 more than the quotient of a number and 5"

Answer: 6+(x·5)

5 0
2 years ago
Read 2 more answers
What’s the mode(s) of 5,5,4,6,7,4,7,3,4,7,5,3
Pie
5 and 7
they both have 3 each
6 0
3 years ago
Other questions:
  • T is between points p and b pt=15 and tb=10 what is pb
    13·2 answers
  • What is the answer to X^4 -3x^2+2
    10·2 answers
  • A ladybugs length measures 2cm express this measurement in meters explain your thinking include an equation with an exponent in
    14·1 answer
  • The combined sales tax rate for your county is 7.25%. How much would you pay to purchase a new video game system with a listed p
    8·2 answers
  • Which is the graph of y – 3 = (x + 6)?
    12·2 answers
  • Write 98 as the product of prime factors in ascending order
    8·1 answer
  • 2.
    6·1 answer
  • Help i’ll give brainliest
    10·2 answers
  • PLEASE HELP ME ON MATH ASAP
    10·2 answers
  • Help me
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!