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3 years ago

Which of the following point-slope form equations could be produced with the points (4, 5) and (-3, -5)?

Mathematics

1 answer:

NikAS [45]3 years ago

3 0

Answer:

<em>Equation; y = 1 3 / 7x - 5 / 7</em>

Step-by-step explanation:

First consider the slope of this equation we must derive;

Slope Formula = Rise / Run,

y2 - y1 / x2 - x1 ⇒

5 - ( - 5 ) / 4 - ( - 3 ) ⇒

10 / 7 ⇒ Slope : 1 3 / 7

So far we can formulate an equation as such;

y = 1 3 / 7 * x + b, <em>where b ⇒ y - intercept</em>

Given one of the points, substitute into this equation solving for b;

5 = 1 3 / 7 * ( 4 ) + b,

5 = 40 / 7 + b,

b = - 5 / 7

From this we can derive one point - slope from equation to be :

<em>Equation; y = 1 3 / 7x - 5 / 7</em>

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3 years ago

Does this graph represent a function? Why or why not?

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Answer:

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Step-by-step explanation:

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3 years ago

Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)

Wittaler [7]

Answer:

$y=\frac{9}{4}x-\frac{55}{4}$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{2-(-7)}{7-3}$

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

$\frac{9}{4}$

The slope is $\frac{9}{4}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

$2=\frac{9}{4}(7)+b$

$2=\frac{63}{4}+b$

$-\frac{55}{4} =b$

The y-intercept is $-\frac{55}{4}$ .

Now that we know the slope and the y-intercept, we can write the equation:

$y=\frac{9}{4}x-\frac{55}{4}$

6 0

3 years ago

The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square fee

valentina_108 [34]

<h3>Therefore the area of remaining board =13.76 square feet</h3>

Step-by-step explanation:

Given , The length of side of the square is 8 feet.

Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .

Therefore the diameter of the circle is = 8 feet.

Radius of the circle is(r) = $\frac{8}{2}$ feet = 4 feet

The area of the circle is= 3.14 r²

= 3.14 × 4² square feet

= 50.24 square feet

The area of the square is = side × side

= 8×6 square feet

=64 square feet

Therefore the area of remaining board = (64- 50.24)square feet

=13.76 square feet

4 0

3 years ago