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svet-max [94.6K]

3 years ago

15

write the eqaution in slope intercept form of the line that has a slope of 2 and contains the point (4,2)

1 answer:

GalinKa [24]3 years ago

3 0

Slope intercept form:
y=mx+b
m=slope
b=y-intercept:

We Know the slope (m=2)and we have a point (4,2) then:
x₀=4
y₀=2
we have to find "b"
y=mx+b
2=2(4)+b
8+b=2
b=2-8
b=-6

Therefore:
if b=-6 and m=2; the equation in slope intercept form would be:
y=2x-6

<span>Answer: y=2x-6</span>

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How do you write the equation in slope-intercept form of the line that has a slope of 2 and contains the point (1,1)

harkovskaia [24]

First you have to put it into point-slope form before you can write it in slope-intercept form which is y-y1=m(x-x1)

Y-1=2(x-1)
Distribute the 2 to the x and -1
Y-1=2x-2
Move it all to one side
Y=2x-1

7 0

3 years ago

Read 2 more answers

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Olin [163]

Answer:

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Step-by-step explanation:

100%

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2 years ago

Solve the following 2 equation.<br>I will Make Brainliest

Levart [38]

Answer:

d. $x = 10$

e. $x=\sqrt[3]{\dfrac{15}{4}}$

Step-by-step explanation:

I've typed up my workings in MS Word and attached them (as it's very difficult to type this in the Brainly equation editor).

I've used the product, quotient and power log laws.

Product: $log_a(x)+log_a(y)=log_a(xy)$

Quotient: $log_a(x)-log_a(y)=log_a(\dfrac{x}{y})$

Power: $p\log_a(x)=log_a(x^p)$

8 0

2 years ago

if Kassidy earns 8$ per hour and Andrea earns 10$ per hour how much more in PERCENT% does Andrea make than Kassidy?

Vilka [71]

Subtract the numbers.

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Multiply by 100:

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5 0

3 years ago

According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it h

andreyandreev [35.5K]

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

3 0

2 years ago