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mina [271]
3 years ago
7

Which equation is a point-slope form of the equation of this line?

Mathematics
2 answers:
steposvetlana [31]3 years ago
8 0
Slope = (7 -1)/(1+2) = 6/3 = 2

equation of <span>point-slope form

y - 1 = 2(x + 2)

hope it helps</span>
lara31 [8.8K]3 years ago
3 0

Answer:

y-7=2(x-1)

Step-by-step explanation:

Point slope form of an equation is basically based on slope of line and point that lie on a line.

Slope refers to steepness of line.

In order to find slope of a line, we divide the difference of y-coordinates of two points by the difference of x-coordiantes of two points.

For two points \left ( x_1,y_ 1\right )\,,\,\left ( x_2,y_2 \right ), slope is given by m=\frac{y_2-y_1}{x_2-x_1}.

Point slope form is y-y_1=m(x-x_1)

Here, m is the slope of line .

\left ( x_1,y_1 \right )=\left ( 1,7 \right )\\\left ( x_2,y_2 \right )=\left ( -2,1 \right )

Slope:

m=\frac{1-7}{-2-1}=\frac{-6}{-3}=2

So, equation is y-7=2(x-1) .

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Sonja [21]

Answer:

-1.5y

Step-by-step explanation:

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3 years ago
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Given a leading coefficient of 8, polynomial roots of 1 &amp; 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

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y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

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Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
2 years ago
Find the domain and range of the relation: (-8,8),(-8,7),(-8,6),(-8,5). Then determine whether the relation is a function.
Andrej [43]
The domain is {-8}
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8 0
3 years ago
Pedro bought 8 tickets to a basketball game. He paid a total of $224. Enter an equation, using x as your variable, to determine
lara31 [8.8K]

x=224/8

x=25+3=28

So: 28

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2 years ago
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"a computer system requires that passwords contain at least one digit. if "seven" characters are generated at random, and each i
PtichkaEL [24]

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