Which equation is a point-slope form of the equation of this line (-2, 1 ) and (1, 7 )

Mathematics

1 answer:

lana [24]3 years ago

6 0

The point-slope formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (-2, 1) and (1, 7).

Substitute:

$m=\dfrac{7-1}{1-(-2)}=\dfrac{6}{3}=2$

$y-1=2(x-(-2))\\\\y-1=2(x+2)$

You might be interested in

What is the slope of the graph of y=−8x+15 ?

Allisa [31]

See the file attached (photo) above - That is the graph for (-(8*x))+15

Graph the line using the slope and y-intercept, or two points.

Slope: −8

y-intercept: (0,15)

x y

0 15

1 7

#CarryOnLearning

<h3>→XxKim02xX</h3>

6 0

3 years ago

The water at the end of a pier was 28 meters deep at midnight. As the tide came in, the water depth increased at a rate of 0.012

Nastasia [14]

Answer:

0.012t + 28 = 30

Step-by-step explanation:

The depth starts at 28 meters. The amount of increase in t minutes will be 0.012t, so the total depth after t minutes is ...

0.012t +28

We want to find when that is equal to 30, so the appropriate equation is ...

0.012t +28 = 30

4 0

4 years ago

Keats Library purchases a number of new books, all in the category of biography; the library does not acquire any other books. W

PtichkaEL [24]

Answer:

$\large \boxed{87.5 \, \%}$

Step-by-step explanation:

Let x = the original number of books

Then 0.375x = the total number of biographies

and 0.20 x = the original number of biographies

$\text{Percent increase} = \dfrac{\text{ New number - Old number }}{\text{Old number }} \times 100\, \%\\\\= \dfrac{0.375x - 0.20x}{0.20x} \times 100\, \% = \dfrac{0.175x}{0.20x} \times 100\, \% = 0.875 \times 100\, \% = \mathbf{87.5 \, \%}\\\\\text{The number of biographies has increased by $\large \boxed{\mathbf{87.5 \, \%}}$}$