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2 years ago

Write the equation of the line passing through the point (6,-9) with slope -5/6.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

3 0

Answer:

The equation is y = -5/6 x-4

Step-by-step explanation:

The equation of a line in slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -5/6 x+b

Substitute in the point

-9 = -5/6(6) +b

-9 = -5+b

Add 5 to each side

-4 = b

The equation is y = -5/6 x-4

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I want to know the answer

butalik [34]

Let
A-----> the point (0.25,1)
B-----> the point (0.50,1.75)

we know that
the equation that represents the linear function is the equation of a line
so
step 1
find the slope m with the points A and B
m=(y2-y1)/(x2-x1)-----> m=(1.75-1)/(0.50-0.25)---> m=0.75/0.25--> m=3

step 2
with m=3 and point A (0.25,1)
find the equation of a line
y-y1=m*(x-x1)-------> y-1=3*(x-0.25)----> y=3x-0.75+1----> y=3x+0.25

the answer is
y=3x+0.25

see the attached figure

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3 years ago

What is the prime factorization of 1,575 (with work)

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3 years ago

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The endpoints of a diameter of a circle are A(3,1) and B(9,9). Find the area of the circle in terms of pie

andrey2020 [161]

Answer:

The answer is $25\pi$ units squared.

Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

The distance between the $x$ 's is 9-3=6.

The distance between the $y$ 's is 9-1=8.

The distance between the points is given by $\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10$ .

The radius is therefore $\frac{10}{2}=5$ .

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The formula for finding the area of a circle is $\pi r^2$ .

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3 years ago

How many 1/3 lb bags of trail mix can josh make from 5/6 lb of trail mix?

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3 years ago

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Answer:

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Step-by-step explanation:

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Write the equation of the line passing through the point ​(​6,-9​) with slope -5/6.

Write the equation of the line passing through the point (6,-9) with slope -5/6.