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
ch4aika [34]
3 years ago
11

Use the graph to find the intercepts. Remember to write the slope as a "reduced fraction. Then, write the equation of the line i

n slope-intercept form.

Mathematics
2 answers:
arlik [135]3 years ago
8 0

Look at the pictures.

The slope-intercept form:

y=mx+b

m - slope \to m=\dfrac{y_2-y_1}{x_2-x_1}

b - y-intercept

(1)

x-intercept = 4

y-intercept = 4 → b = 4

We have the points (0, 4) and (4, 0). Substitute:

m=\dfrac{0-4}{4-0}=\dfrac{-4}{4}=-1

Slope = -1

Equation: y = -x + 4

(2)

x-intercept = 6

y-intercept = -4 → b = -4

We have the points (0, 6) and (-6, 0). Substitute:

m=\dfrac{0-6}{-6-0}=\dfrac{-6}{-6}=1

Slope = 1

Equation: y = x - 4

(3)

x-intercept = 5

y-intercept = -3 → b = -3

We have the points (5, 0) and (0, -3). Substitute:

m=\dfrac{-3-0}{0-5}=\dfrac{-3}{-5}=\dfrac{3}{5}

Slope = \dfrac{3}{5}

Equation: y=\dfrac{3}{5}x-3

igor_vitrenko [27]3 years ago
5 0

First, take a look at the vertical axis.  Its. equation is x=0.  count the number of scale divisions from the origin to the point where the line crosses the vertical axis.  It's 4.  Thus, the vertical intercept is (0,4).

Next, determine the x value where the line crosses the horizontal axis.  It's 4, and so the horiz. intercept is (4,0).

Going from (0,4) to (4,0), x increases by 4 and y decreases by 4.  Thus, the slope of the given line is m = rise / run = -4/4 = -1.

Starting with y = mx + b, substitute the knowns:  

b, the y-intercept, is 4.  m, the slope, is -1.  Thus, the equation of this line in slope-intercept form is y = -x + 4.

You might be interested in
Please help solve for PQ.
DerKrebs [107]
This problem cannot be solved unless we are given figure NPQR is a rhombus.
In that case, then all sides are equal, meaning 
5x+16=9x-32
Solve for x
9x-5x=16+32
4x=48
x=12

Each side (including PQ) then equals 5x+16=5*12+16=76
8 0
3 years ago
Guy has saved a total of $95. He buys an airplane model kit for $9, and he wants to donate $8 to each of several local animal sh
Vesna [10]

Answer:

$6

Step-by-step explanation:

After buying airplane model kit, he has left

95 - 9 = 86

We divide 86 by 8 and find the whole number. That would be:

86/8 = 10 remainder 6

The remainder is $6, so he is short of $2 to donate to another shelter. So he can donate to 10 shelters and have $6 remaining.

The first answer chioce is right, $6.

6 0
3 years ago
Help! Giving brainliest and 10+ points, A ball is dropped from the top of a 400-ft tall tower. The relationship between the time
Ad libitum [116K]

Answer:

3

Step-by-step explanation:

4 0
3 years ago
If there are 624 calories in 3 servings, how many calories are in 1 serving?
zlopas [31]

Answer:

208 carlories each serving

7 0
3 years ago
Read 2 more answers
Write the expression as a single logarithm
vredina [299]

3\log_7y + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - 5\log_7z)\\\log_7y^{3} + 4(\log_7x - \log_7z^{5})\\\log_7y^{3} + 4(\log_7(\frac{x}{z^{5}}))\\\log_7y^{3} + \log_7(\frac{x}{z^{5}})^{4}\\\log_7(y^{3} \times (\frac{x}{z^5{5}})^{4})

4 0
3 years ago
Other questions:
  • Whars 0.84 repeating as a fraction in simplest form?
    7·1 answer
  • The length of a rectangle is 8 cm longer than twice the width. If the perimeter is 34 cm, find the dimensions of the rectangle.
    7·1 answer
  • Select the correct name for the following line.
    11·2 answers
  • How do you find the area of each triangle?
    10·1 answer
  • Solve for x. Use the completing the squares
    14·1 answer
  • What’s the ratio for tan B?
    13·1 answer
  • Adrian lives and works in Georgia. He earns a gross income of $1,600 each month but gets a net income of $1,224.65. His employer
    7·2 answers
  • 1. If a, b, c, d, and e are whole numbers and a(b(c
    11·1 answer
  • Graph a line with a y-intercept of -3 and a slope of 1/2
    14·1 answer
  • Nancy spends 1/3 of her monthly salary on rent, 0.1 on her car payment, 1/12 on food, and 20% on the bills. She has $680 left fo
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!