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Akimi4 [234]
3 years ago
13

Slope of the line that passes through the points

Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

Step-by-step explanation:

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Write the equation of a line in slope-intercept form, y = mx + b, between the following
kupik [55]

Answer:

y =  \frac{3}{2} x + 2

Step-by-step explanation:

In the slope-intercept form y= mx +b, m is the slope and b is the y- intercept.

\boxed{slope =  \frac{y1 - y2}{x1 - x2} }

Using the formula above,

slope =  \frac{5 - ( - 4)}{2 - ( - 4)}

m =  \frac{5 + 4}{2 + 4}

m =  \frac{9}{6}

m =  \frac{3}{2}

Substitute the value of m into the equation:

y =  \frac{3}{2} x + b

To find the value of b, substitute a pair of coordinates into the equation.

When x= 2, y= 5,

5 =  \frac{3}{2} (2) + b

5= 3 +b

b= 5 -3

b= 2

Thus, the equation of the line is y =  \frac{3}{2} x + 2.

5 0
3 years ago
ANSWER PLSSSSSSSSSSS
mestny [16]

Answer:

B) 161.5 in²

Step-by-step explanation:

We can separate the kite figure into <em>two triangles, by cutting it vertically</em>.

So, we have two triangles with the area of <em>1/2*(6+13)*8.5</em>.

Since there is <em>two</em> of them, the equation of the total area is <em>2*1/2*(6+13)*8.5</em>.

Simplify: <em>1*19*8.5</em> (2 and 1/2 cancel out).

Multiply: <em>19*8.5</em> = 161.5 in²

6 0
3 years ago
Help please!!! Find the sum of the series show your work
AleksAgata [21]

Answer:

\sum_{i=1}^{12}(3i-1) = 222

Step-by-step explanation:

The given series is

\sum_{i=1}^{12}(3i-1)

The first term is

f(1) = 3 \times 1 - 1 = 2

The last term is

f(12) = 3 \times 12 - 1 = 35

To find the number of terms in the sequence, solve,

3i - 1 = 35

3i = 36 \\ i = 12

The sum of the first i-terms of an arithmetic sequence is:

S_i =  \frac{i}{2} (f(1) + f(2))

We substitute the values to get;

S_ {12}=  \frac{12}{2} (2+ 35)

S_ {12}=6(37)

S_ {12}= 222

6 0
4 years ago
The fraction 4/10 can be written as<br><br> A) 0.0004 <br> B) 0.004 <br> C) 0.04 <br> D) 0.4
lara31 [8.8K]
You can simplify the fraction to get 2/5. If you convert this into a decimal you will get 0.4, so D is your answer.
6 0
4 years ago
Read 2 more answers
Solve for x: (3x-4) degrees
Montano1993 [528]

Answer:

x=1

Step-by-step explanation:

4 0
2 years ago
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