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3 years ago

Write the equation of the line shown in point slope form (1,2) (3,6)

Mathematics

1 answer:

Kipish [7]3 years ago

7 0

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (1, 2) and (3, 6). Substitute:

$m=\dfrac{6-2}{3-1}=\dfrac{4}{2}=2\\\\\boxed{y-2=2(x-1)}$

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matrenka [14]

Im unable to send the equation

8 0

4 years ago

a line with a slope of 0 passes through the point (6, 4). what is its equation in slope intercept form

anygoal [31]

Answer:

y = 4

Step-by-step explanation:

A line with a slope of zero is a horizontal line parallel to the x- axis with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (6, 4 ) with y- coordinate 4 , then

y = 4 ← equation of line

8 0

2 years ago

If p is directly proportional to q, and p = 40 when q = 15, find q when p = 64

Zinaida [17]

40/15=64/q
The answer is q=24

8 0

3 years ago

What is the value of (9^7) ^3/14, in simplest terms? a0

s2008m [1.1K]

Answer:

27.

Step-by-step explanation:

It is one property of exponents that for any numbers a, b, and c

$(a^b)^c=a^{bc}$

Therefore, using this property the expression $(9^7) ^{3/14}$ becomes

$(9^7) ^{3/14} =9^{(7*\frac{3}{14} )}$ .

and when when simplify the exponents, we get:

$9^{(\frac{21}{14} )}= 9^{\frac{3}{2} }= (9^{\frac{1}{2} })^3$ .

Since for any number $a^\frac{1}{2} =\sqrt{a}$ ( $\dfrac{1}{2}$ in the exponent means the square root) , $(9^{\frac{1}{2} })^3$ is rewritten as

$(\sqrt9} )^3$

which simplifies to

$(\sqrt9} )^3=3^3 =\bold{27}$

Thus,

$\boxed{ (9^7) ^{3/14}=27}$

6 0

3 years ago

Solve for p. 7(p- 9) = -34.3

Andrei [34K]

Answer:

P=4.1

Step-by-step explanation:

Open the parenthesis on LHS.

7p-63=-34.3

Now isolate the variable.

7p=-34.3+63

7p=28.7

Simply Divide.

p=4.1

4 0

3 years ago