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3 years ago

Describe the procedure you performed to derive the slope-intercept form of a linear equation.

Mathematics

2 answers:

defon3 years ago

6 0

Answer:

1. You first have to find the slope

2. Next, you have to find the y-intercept

3. Finally, you have to put it in y = mx + b form.

Step-by-step explanation:

The slope of 2 points is; $\frac{y_{2}- y_{1} }{x_{2}-x_{1}}$

The y-intercept is; $y-y_{1}=m(x-x_{1} )$

y = mx + b

m is always the slope

b is always the starting point or y-intercept

musickatia [10]3 years ago

3 0

Answer:y=mx+b

Step-by-step explanation:

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

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Alborosie

The domain the given graph is :

-12 < x < 13

6 0

2 years ago

The denominator of a fraction is 4 more than the numerator if both are decreased by 3 the simplified result is 6/7 find original

Hitman42 [59]

Answer:

The denominator of a fraction is 4 more than the numerator. The original fraction is $\frac{27}{31}$

Solution:

Given that

Denominator of fraction is 4 more than the numerator.

Let’s say numerator of fraction be represented by variable x.

So denominator of a faction as it is four more that numerator will be x + 4

Also given if both decreased by three than simplified result is $\frac{6}{7}$

$=>\frac{(x-3)}{((x+4)-3)}=\frac{6}{7}$

Solving above equation for x

=> 7(x – 3 ) = 6 ( x + 1 )

=> 7x – 21 = 6x + 6

=> 7x – 6x = 6 + 21

=> x = 27

Numerator of fraction = x = 27

Denominator of fraction = x + 4 = 27 + 4 = 31

$\text {required fraction}=\frac{\text {numerator}}{\text {denominator}}$

$= \frac{27}{31}$

Hence the original fraction is $\frac{27}{31}$

7 0

3 years ago

Antonio invests 3000 at .10 interest compounded semianually for 12 years. Use the compound interest formula to calculate the com

marissa [1.9K]

Answer:

A=9675.299

Step-by-step explanation:

A=p(1+r)^t

A compound amount

P is the principle amount invested

r : rate ( semiannually is 0.5 )

t=years ( semiannually 12*2=24)

A=3000(1+0.10/2)^24

A=9675.299

8 0

3 years ago

WILL GIVE BRAINLIEST

podryga [215]

Answer: The lines through the pairs of points are perpendicular.

Step-by-step explanation: The lines when graphed do not have the same slope so they can not be parallel. However, when graphed the points (-3, 5) and (-1, 0) goes through the midpoint of the points (-3,1) and (2,3) meaning that the above points are perpendicular! Hope this makes sense and helps.

3 0

2 years ago

If y varies inversely with the square of r, what is the constant of proportionality when y - 10 and 1 = 5?

Anvisha [2.4K]

Question:

If y varies inversely with the square of r, what is the constant of proportionality when y =10 and r = 5?

Answer:

The constant of proportionality is 250

Solution:

Given that,

y varies inversely with the square of r

Which means,

$y \propto \frac{1}{r^2}\\\\y = k \times \frac{1}{r^2}$

Where, "k" is constant of proportionality

Subtitute y = 10 and r = 5

$10 = k \times \frac{1}{5^2}\\\\10 = k \times \frac{1}{25}\\\\k = 10 \times 25\\\\k = 250$

Thus the constant of proportionality is 250

6 0

3 years ago