Which equation shows the point slope form of the line that passes through (5,1) and has a slope of 1/2

Mathematics

1 answer:

arsen [322]3 years ago

5 0

Answer:

3rd option, $y-1 = \frac{1}{2} (x-5)$

Step-by-step explanation:

To find out which option is correct, we can write the equation in point-slope form ourselves.

Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation in point-slope form. Substitute the $m$ , $x_1$ , and $y_1$ for real values.

Since $m$ represents the slope, substitute $\frac{1}{2}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of a point the line intersects, substitute the x and y values of (5,1) into the formula as well. Substitute 5 for $x_1$ and 1 for $y_1$ . This gives the following equation:

$y-1 = \frac{1}{2} (x-5)$

You might be interested in

Suppose that 80% of all trucks undergoing a brake inspection at a certain inspection facility pass the inspection. Consider grou

Gwar [14]

Answer:

P=0.147

Step-by-step explanation:

As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2

We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.

We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) . To find the required probability 3 mentioned probabilitie have to be summarized.

So P(9/16 )= C16 9 * P(good brakes)^9*Q(bad brakes)^7

P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02

P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007

P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12

P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147

7 0

3 years ago

What is 1/4 divided by 9/10 rewritten with an important fraction?

lutik1710 [3]

Step-by-step explanation:

${:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}$