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
Morgarella [4.7K]
3 years ago
7

How would you write the equation with a slope of 2/3 and a y-intercept of (0,-3)?

Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

y = (2/3)x - 3

Step-by-step explanation:

Slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept.

The point is given to you. Note that:

(x , y) = (0 , -3) ∴

x = 0

y = -3

The slope = m = 2/3

Plug in the corresponding numbers to the corresponding variable:

y = mx + b

-3 = (2/3)(0) + b

-3 = 0 + b

b = -3

Plug in -3 for b in the equation:

y = mx + b

y = (2/3)x -3

y = (2/3)x - 3 is your equation.

~

You might be interested in
in rhombus ABCD the measure in inches of AB is 3x+2 and BC is x+12 Find the number of inches in the length of DC
Afina-wow [57]
<h3>Answer: 17 inches</h3>

===============================

Rule: All four sides of a rhombus are the same length

So AB = BC

Use this to solve for x

AB = BC

3x+2 = x+12

3x-x = 12-2

2x = 10

x = 5

If x = 5, then

AB = 3*x+2 = 3*5+2 = 15+2 = 17

and

BC = x+12 = 5+12 = 17

Both sides are 17 as expected, so the proper x value is confirmed.

So DC is also 17 since AB = DC

3 0
3 years ago
Carly tried to solve an equation step by step. <br> Find Carly's mistake.
Phantasy [73]

Answer:

Step 1 is incorrect

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A die is rolled. If it rolls to a 1, 2, or 3 you win $2. If it rolls to a 4, 5, or 6 you lose $1. Find the expected winnings.
Maurinko [17]

Answer:

A. $0.5

Step-by-step explanation:

In this question half of the time your winning is 2 dollars and also the other half of the time your loss is one dollar

The expectation is that after you must have had 2 rolls you would get 2 dollars once and also you are going to lose 1 dollar once. So what you won overall would be 1 dollar.

So the correct answer would be gotten from $1/2rolls

= $0.50

8 0
3 years ago
If triangle ACD ~ triangle ABE, find the value of x.
alina1380 [7]
Answer:

x = 16

Explanations:

Since △ACD ~ △ABE, it means that:

CD/AD = BE/AE..........(*)

CD = 3x + 8

AD = AE + ED

AD = (x - 1) + 27

AD = x + 26

BE = 20

AE = x - 1

Substituting CD, AD, BE, and AE into equation (*)

(3x+8)/(x+26) = 20/x-1

Cross multiply:

(3x+8)(x-1) = 20(x+26)

3x² - 3x + 8x - 8= 20x + 520

3x²- 15x - 528 = 0

Divide through by 3

x² - 5x - 176 = 0

Solving the quadratic equation above for the values of x

x² - 16x + 11x - 176 = 0

x(x - 16) + 11 (x - 16) = 0

(x - 16)(x + 11) = 0

If x - 16 = 0

x = 16

If x + 11 = 0

x = -11

x cannot be -11 because x = -11 will make side CD and AE to be negative, and the sides of a triangle cannot be negative.

Therefore, x = 16

5 0
1 year ago
!!help equation: x^2+5x-14 and use the steps above ​
Bezzdna [24]

SIALJKBDKSJBDKSJBDKSJBDHSJDBSHJDBSHJDBSJDBJSD

6 0
3 years ago
Other questions:
  • Which expression is equivalent to the given expression? 17x−32x A. x(32−17) B. 17(x−32) C. 17x(1−32) D. x(17−32)
    7·2 answers
  • Draw 2 lines to cut each triangle into the given shapes. 1 triangle and 2 trapezoids
    15·1 answer
  • What is the height of the pole?<br> please help asap
    11·2 answers
  • A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6
    9·2 answers
  • How do I teach my 4th grader to divide with two digits. Example 672/32 <br><br> what are the steps?
    15·2 answers
  • Five is seven more than the product of two and a number. what is the number
    11·1 answer
  • Numbers that are greater than 5 and less than 5.75
    8·2 answers
  • A small business just celebrated its 1-year anniversary they calculate that in one year they serve over 5110 customers on averag
    12·1 answer
  • What is the definition of a rational function?
    7·1 answer
  • While at School Brian had a math quiz every 6 days and a science quiz every four days. On February 15 he had both tests. Assumin
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!