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zhuklara [117]
3 years ago
10

WRITE THE EQUATION, IN THE FORM y=mx + b, that represents the line shown on the graph.

Mathematics
1 answer:
ollegr [7]3 years ago
3 0

Answer:

y = 3/2x - 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Slope Formula: m=\frac{y_2-y_1}{x_2-x_1}

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

y-intercept (0, -2)

Random Point (2, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

  1. Substitute [slope formula]:          m=\frac{1+2}{2-0}
  2. Add/Subtract:                               m=\frac{3}{2}

<u>Step 3: Write equation</u>

<em>Substitute into General Form</em>

y = 3/2x - 2

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WILL PICK BRAINLIEST!!!
andreyandreev [35.5K]

we are given

f(x)=10(2)^x

now, we can compare it with

f(x)=a(b)^x

we can find b

we get

b=2

now, we are given

How would the graph change if the b value in the equation is decreased but remains greater than 1

Let's take

b=1.8

f(x)=10(1.8)^x

b=1.6

f(x)=10(1.6)^x

b=1.4

f(x)=10(1.4)^x

b=1.2

f(x)=10(1.2)^x

now, we can draw graph

now, we will verify each options

option-A:

we know that all y-value will begin at y=0

because horizontal asymptote is y=0

so, this is FALSE

option-B:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

option-C:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is TRUE

option-D:

we know that curves are increasing

so, the value of y will keep increasing as x increases

so, this is TRUE

option-E:

we can see that

curve is moving upward when b decreases for negative value of x

but it is increasing slowly for negative values of x

so, this is FALSE

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3 years ago
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