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3 years ago

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3

Mathematics

1 answer:

crimeas [40]3 years ago

3 0

Answer:

The answer is

$\huge y = \frac{5}{3} x - 4$

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

$y - y_1 = m(x - x_1)\\$

where

m is the slope

( x1 , y1) is the point

From the question the point is (6,6) and slope 5/3

We have

$y - 6 = \frac{5}{3} (x - 6) \\ y - 6 = \frac{5}{3} x - 10 \\ y = \frac{5}{3} x - 10 + 6 \\$

We have the final answer as

$y = \frac{5}{3} x - 4 \\$

Hope this helps you

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The following graph shows a proportional relationship.

elena-s [515]

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0. Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

The constant of proportionality is thus 1, which is also the slope of this line.

8 0

2 years ago

Can someone show me at least trial one

GenaCL600 [577]

Pick a number: 5
Add 7: 5+7=12
Triple the result: 12*12*12=1728
Add 9= 1728+9=1737
Divide by 3 = 1737/3=579
Subtract original number = 579-5=574

Now pick a different number a do the same process

Hope that helps

8 0

3 years ago

Read 2 more answers

Please help, i need to raise my grade

Dmitrij [34]

Answer:

$r=\dfrac{v^2}{a}$

Step-by-step explanation:

To isolate r, we're going to need to do some algebraic manipulation.

$a=\dfrac{v^2}{r}$

Multiply both sides by r:

$a\cdot r=v^2$

Divide both sides by a:

$r=\dfrac{v^2}{a}$

Hope this helps!

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3 years ago

What are ALL the factors of 15

Sophie [7]

1&15 and 3&5 are factors of 15

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3 years ago

The sum of the lengths of any two sides of a triangle must be greater than the third side. If a triangle has one side that is 8

julsineya [31]

Good afternoon,

First side= 8cm
Third side= x
Second side= 2x-4

We know that the sume of the lenghts of any two sides must be greater than the third side, so:

$Second \,\,\,\,side+Third\,\,\,\,side>First\,\,\,\,side \\ 2x-4 + x >8 \\ 3x>12 \\ x>4
$

<span>Answer: Third side= x ; where: x>4 or (4,+infinity)
Second side= 2x-4 ; </span><span> where: x>4 or (4,+infinity)</span>

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3 years ago

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3￼

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3