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2 years ago

Find the slope and slope equation.

Mathematics

2 answers:

Anna007 [38]2 years ago

8 0

For this case we have that, by definition, the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Where:

$(x_ {1}, y_ {1})\\(x_ {2}, y_ {2})$

They are points through which the line passes.

According to the figure we have that the line goes through the following points:

$(x_ {1}, y_ {1}) :( 2, -4)\\(x_ {2}, y_ {2}) :( 0, -3)$

Substituting in the equation we have:

$m = \frac {-3 - (- 4)} {0-2} = \frac {-3 + 4} {- 2} = \frac {1} {- 2} = - \frac {1} {2 }$

Thus, the slope of the line is: $m = - \frac {1} {2}$

Answer:

$m = - \frac {1} {2}$

Luda [366]2 years ago

3 0

We can use points (-2, -2) and (2, -4) to solve.

Slope formula: y2-y1/x2-x1

= -4-(-2)/2-(-2)

= -2/4

= -1/2

Slope-intercept form: y = mx + b

m = slope

b = y-intercept

y = -1/2x - 3

Hope This Helped! Good Luck!

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Find the standard equation of a parabola with a vertex of (-3,1)

kkurt [141]

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2. We have y = a(x - 3)^2 + 1
3. Take everything to the left side:
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That's the standard equation. Hope this helps! :)

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2 years ago

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2 years ago

What is -1/3+w=5 3/8 express in simplest form

Elodia [21]

Let's solve your equation step-by-step.
 $\frac{-1}{3}$ +w=5 $\frac{3}{8}$ 
Step 1: Simplify both sides of the equation.
w+ $\frac{-1}{3}$ = $\frac{43}{8}$ 
Step 2: Add $\frac{1}{3}$ to both sides.
w+ $\frac{-1}{3}$ + $\frac{1}{3}$ = $\frac{43}{8}$ + $\frac{1}{3}$ 
w= $\frac{137}{24}$ 

Answer:w=5 $\frac{17}{24}$

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3 years ago

Can someone help me on this one, please? Denis and Dasha solve this problem in two different ways.

bagirrra123 [75]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom o

dezoksy [38]

Answer:

12 square inches.

Step-by-step explanation:

Please consider the complete question.

A model ship has a mast that is 7 inches tall. A right triangular sail goes from the top of the mast to 1 inch from the bottom of the mast. The length of the base of the sail is 4 inches. The height of the sail is along the mast. Find the area of the sail.

The sail will form a right triangle with respect to mast, whose height is 6 inches and base is 4 inches as shown in the diagram.

The area of the sail will be equal to area of triangle.

$\text{Area of triangle}=\frac{1}{2}(\text{Base}\times\text{Height})$

$\text{Area of triangle}=\frac{1}{2}(4\text{ in}\times6 \text{in})$

$\text{Area of triangle}=2\text{ in}\times 6 \text{in})$

$\text{Area of triangle}=12 \text{ in}^2$

Therefore, the area of the sail is 12 square inches.

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2 years ago