All categories

3 years ago

Find the slope-intercept form of the equation of the line passing through the given points.

1 answer:

5 0

$The\ slope-intercept\ form:y=mx+b\\\\The\ slope-point\ form:y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

$(1;\ 1)\to x_1=1;\ y_1=1\\\left(3;-\dfrac{1}{5}\right)\to x_2=3;\ y_2=-\dfrac{1}{5}.\\\\Subtitute:\\\\m=\dfrac{-\frac{1}{5}-1}{3-1}=\dfrac{-1\frac{1}{5}}{2}=-\dfrac{\frac{6}{5}}{2}=-\dfrac{\not6^3}{5}\cdot\dfrac{1}{\not2_1}=-\dfrac{3}{5}$

$y-1=-\dfrac{3}{5}\left(x-1\right)\\\\y-1=-\dfrac{3}{5}x+\dfrac{3}{5}\ \ \ \ |add\ 1\ to\ both\ sides\\\\\boxed{y=-\frac{3}{5}x+1\frac{3}{5}}$

You might be interested in

Pls solve this for me :(

Rus_ich [418]

Answer:

33.83

Step-by-step explanation:

This is because if you trying to find h and the opposite side, you will have to use cos to get that answer. My using this equation

$\cos(31) = \frac{29}{x}$

You will find that x will equal 33.83

Hope this Helped

6 0

3 years ago

Which expressions are equivalent to the equation below

Irina18 [472]

Answer:

Polynomial Expression.

Step-by-step explanation:

8 0

3 years ago

Elena has 35 magazine subscriptions to sell. Each magazine subscription costs $8.50. Elena sold 17 magazine subscriptions on Fri

KengaRu [80]

Answer : The answer is $153.00 from selling magazine subscriptions on Saturday.

Explanation : We know that each magazine is equal to $8.50. At first she sold 17 of the 35 magazines. 17 x $8.50 = $144.50 from selling 17 magazines. Now we do 35-17 to get how many magazines are left. So there is 18 magazines left. We need to do the same thing we did before, 18 x $8.50 = $153.00. She got $153.00 from selling 18 magazines on Saturday.

7 0

3 years ago

school uniform cost $25 plus a one time $5 fee if you get your initials embroidered on the collar . how much did bryce pay if he

daser333 [38]

4 embroidered uniforms= $5 fee for each 4 embroidered uniform and $25 for each uniform. 5 x 4 = 20. 25 x 4 = 100. 100 + 20= 125. He paid $120 for the embroidered uniform.

5 0

3 years ago

For the month of January in a certain city, 42% of the days are cloudy. Also in the month of January in the same city, 41% o

zalisa [80]

Answer: 0.9762

Step-by-step explanation:

Let A be the event that days are cloudy and B be the event that days are rainy for January month .

Given : The probability that the days are cloudy = $P(A)=0.42$

The probability that the days are cloudy and rainy = $P(A\cap B)=0.41$

Now, the conditional probability that a randomly selected day in January will be rainy if it is cloudy is given by :-

$P(B|A)=\dfrac{P(B\cap A)}{P(A)}\\\\\Rightarrow\ P(B|A)=\dfrac{0.41}{0.42}=0.97619047619\approx0.9762$

Hence, the probability that a randomly selected day in January will be rainy if it is cloudy = 0.9762

7 0

3 years ago