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stich3 [128]
3 years ago
11

Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5).

Mathematics
1 answer:
andrezito [222]3 years ago
4 0
<h2>Answer:   y - 5 =  - 4 (x - 4)</h2>

Step-by-step explanation:

The point-slope form of a line is (y - y₁) = m(x - x₁)

Since we know the slope (m) is -4

And the point  ( x₁, y₁ ) is (4, 5)

Then we can just plug these into the equation above:

                               ⇒  y - 5 =  - 4 (x - 4)

<em>I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).</em>                                      

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Fffffffffffffffffffffffffffffffffffff<br><br>l
Aleks04 [339]

Answer:

um

Step-by-step explanation:

8 0
3 years ago
Hannah earned $1536 in 8 years on an investment at a 4% annual simple interest rate. How much was Hannah’s investment? $4800 $30
Nonamiya [84]

Simple interest calculates interest on initial amount only. The investment by Hannah was : Option A: $4800

<h3>How to calculate simple interest amount if rate of interest is R% annually?</h3>

Suppose that the initial amount of investment is P

And the rate of simple interest is R% annually,

And the time of investment is T years.

Then, the amount of simple interest is calculated as:

I = \dfrac{P \times R \times T}{100}

For the given case, let the initial investment Hannah made was of $P

Then, the time of investment is T = 8 years, R% = 4%, and given that Hannah earned interest I = $1536

Putting values in the above formula, we get;

I = \dfrac{P \times R \times T}{100}\\\\1536 = \dfrac{P \times 8 \times 4}{100}\\\\P = \dfrac{153600}{32} = 4800

Thus,

The investment by Hannah was : Option A: $4800

Learn more about simple interest here:

brainly.com/question/5319581

5 0
3 years ago
Find the midpoint M of the line segment joining the points S = (-8, 3) and T = (2, -1).
Alex

Step-by-step explanation:

use the midpoint formula

( \frac{xs + xt}{2} \:  \:  \frac{ys + yt}{2} )

substitute into the midpoint formula

( \frac{ - 8 + 2}{2}  \:  \:   \frac{3 + ( - 1)}{2} )

solve the above

(

(3 \:  \: 1)

so the x coordinate if your midpoint is 3

the y coordinate of your midpoint is 1

(3;1)

6 0
2 years ago
How do you find the slope of a line?<br><br> (Change in Y / Change in X)
sukhopar [10]
In order to find the slope of a line, u must use the slope formula. Which is (y2-y1/x2-x1). For example if you had a set of coordinates that are (6,4) and (2,8) you would first sub the 8 from4 which gives you 4. The u do the same with 2 and 6 which gives u 4. After that you divide 4 by 4. and your answer is 1
8 0
3 years ago
Thirteen less than the sum of a number and 7 is -30. Find the number
Verizon [17]

Answer:

do the opposite of the equation so adding is subtracting and multiplying is dividing

-30-7=-37

-37+13=-24

-24 is the answer

-24+7=-17-13=-30

Hope this helps

Step-by-step explanation:

3 0
3 years ago
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