All categories

3 years ago

(-1,4) and (3,16) in point slope form

Mathematics

1 answer:

Klio2033 [76]3 years ago

3 0

Answer:

The equation of the line is y - 16 = 3(x - 3)

Step-by-step explanation:

To find the equation of this line, we first need to find the slope. To do that, we use the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (16 - 4)/(3 - -1)

m = (16 - 4)/(3 + 1)

m = 12/4

m = 3

Now that we have the slope, we can use it and either point in point-slope form.

y - y1 = m(x - x1)

y - 16 = 3(x - 3)

You might be interested in

Today, the population of Canyon Falls is 22,500 and the population of Swift Creek is 15,200. The population of Canyon Falls is d

deff fn [24]

Answer:

10 years

Step-by-step explanation:

Let c and s represent the populations of Canyon Falls and Swift Creek, respectively. For time t in years, the respective populations are ...

c = 22500 -740t

s = 15200 +1500t

We want to find t when s = 2c.

s = 2c

15200 +1500t = 2(22500 -740t)

2980t = 29800 . . . . . add 1480-15200, simplify

29800/2980 = t = 10 . . . . divide by the coefficient of t

The population of Swift Creek will be double that of Canyon Falls in 10 years.

7 0

3 years ago

Find the measure of the interior angle.

Veronika [31]

90+27=117
180-117=63
X=63 degrees

7 0

3 years ago

5^n=0.2 need to find value of n

lozanna [386]

Answer:

Below

Step-by-step explanation:

5^n = 0.2

First write the number in exponential form with the base of 5 :

5^n = 5^-1

Because the bases are the same, we can set the exponents as equal :

x = -1

Hope this helps! Best of luck <3

6 0

2 years ago

Juliet went to the mall to buy clothes for the new school year. Shirts cost $15 and pants cost $40. If Juliet bought 10 items of

12345 [234]

7 shirts and 4 pants hope i helped

3 0

3 years ago

Read 2 more answers

- If f ( x ) = x² + 2x - 1 and g ( x ) = 3x - 2 , then verify the following :

RideAnS [48]

Step-by-step explanation:

Hey there!

Given;

f ( x ) = x² + 2x - 1

g ( x ) = 3x - 2

To verify:

$( \frac{f}{g} )(2) = \frac{f(2)}{g(2)}$

LHS:

$(\frac{f}{g} )(x) = \frac{ {x}^{2} + 2x - 1}{3x - 2}$

~ Insert "2" instead of "x".

$(\frac{f}{g} )(2) = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}$

Simplify it;

$\frac{f}{g} (2) = \frac{4 + 4 - 1}{6 - 2}$

Therefore; (f/g)(2) = 7/4.

RHS:

$\frac{f(x)}{g(x)} = \frac{ {x}^{2} + 2x - 1}{3x - 2}$

~Insert "2" instead of"x".

$\frac{f(2)}{g(2)} = \frac{ {2}^{2} + 2 \times 2 - 1 }{3 \times 2 - 2}$

Simplify it.

$\frac{f(2)}{g(2)} = \frac{4 + 4 - 1}{6 - 2}$

Therefore, f(2)/g(2) = 7/4.

Since (f/g)(2) = f(2)/g(2) = 7/4.

Proved!

Hope it helps!

3 0

3 years ago