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3 years ago

What is the equation in the point slope form for a line that goes through 7,5 and has a slope of -4,-1

Mathematics

1 answer:

Nuetrik [128]3 years ago

5 0

Answer:

The equation of the line would be y = -4x + 33

Step-by-step explanation:

To find this, we use point-slope form with the point given and the slope given. Then we solve for y.

y - y1 = m(x - x1)

y - 5 = -4(x - 7)

y - 5 = -4x + 28

y = -4x + 33

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Define properties of angles on a straight line

Vikki [24]

The sum of all the angles on one side of a straight line is always 180 degrees. For example: The sum of ∠1, ∠2, and ∠3 is 180 degrees

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3 years ago

Read 2 more answers

-15/2 = 3x solve for x and simplify your answer as much as possible

Angelina_Jolie [31]

Answer:

x = -5/2

Step-by-step explanation:

-15/2 = 3x

multiply both sides by 2:

2(-15/2) = 2(3x)

-15 = 6x

divide both sides by 6:

-15/6 = 6x/6

x = -15/6

this can be reduced to:

x = -5/2

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1 year ago

A baker uses 1/2 cup of water for every 1/4 cup of sugar in a syrup recipe. If the baker follows the recipe proportions, which s

fredd [130]

The statements which are true are;

Choice B: The baker uses 1/2 cup of sugar for every cup of water because 1/2 ÷ 1/4 = 1/2.
Choice E: The baker uses 2 cups of water for every cup of sugar because 1/2 ÷ 1/4 = 2.

<h3>Ratios and Proportions</h3>

Since the baker uses 1/2 cup of water for every 1/4 cup of sugar.

Considering proportions; we have;

1 cup of water for every 1/2 cup of sugar

2 cups of water for every cup of sugar;

This is because, 1/2 ÷ 1/4 = 2.

Read more on ratios and Proportions;

brainly.com/question/13513438

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3 years ago

What is the ratio of the area of the larger circle to the area of the smaller circle

krek1111 [17]

The formula of an area of a circle:

$A=\pi r^2$

We have R = 6mm and r = 5 mm.

Substitute:

$A_1=\pi(6^2)=36\pi\ mmm^2\\\\A_2=\pi(5^2)=25\pi\ mm^2$

The ratio:

$\dfrac{A_1}{A_2}=\dfrac{36\pi}{25\pi}=\dfrac{36}{25}$

<h3>Answer: 36 : 25</h3>

8 0

4 years ago

Find conditions on the slope of a line through (9, 4) such that the x-intercept is negative and the slope is greater than its y-

Vilka [71]

Answer:

9/5 < m < 9/4

Step-by-step explanation:

The conditions are:

The line passes through (9,4)

x-intercept is negative

The slope (m) is greater than its y-intercept

If we take a point like (-1,0)

Slope (m) = change in y ÷ change in x = $\frac{0 - 9}{-1 - 4} = \frac{-9}{-5}$ = 9/5

This point satisfies the conditions above since;

The line passes through points (9,0) and (-1,0)
The x-intercept is negative i.e -1
The y-intercept is 0 and the slope which equals 9/5 is greater than 0

From the choices given;

we can say that:

m > 9/5 and m < 9/4

And can be expressed as;

9/5 < m < 9/4

8 0

3 years ago