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3 years ago

The slope of the line that passes through the point (2,4)and (3,8) is

Mathematics

2 answers:

siniylev [52]3 years ago

5 0

Equation of the line:

y = 4x – 4

Slope: 4

Lelu [443]3 years ago

3 0

Answer:

Step-by-step explanation:

Slope is Rise over Run or the difference in the y values over the difference in the x values.

Rise = difference between 4 and 8 = 4

Run = difference between 2 and 3 = 1

So your slope is 4 and since the line slants upward from left to right, the slope is positive.

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PLEASE HELP ME

AlekseyPX

Answer:

Step-by-step explanation:

3 0

3 years ago

If you know how to do it, please help me out :)

Artemon [7]

Answer:

Answer in explanation.

Step-by-step explanation:

Lets take

$y = \frac{3}{4} x - 5$

as L1.

Take L2 the line perpendicular to L1.

Standard form of equation of line:

y=mx+c, where m = slope and c = y-intercept.

Since L1 and L2 are perpendicular,

mL1 x mL2 = -1

Substitute mL1 into the equation,

3/4 x mL2 = -1

mL2 = -1 ÷ 3/4

mL2 = -4/3

L2 : y = mx+ c

Substitute y = 6, x = 8 and m = -4/3 into the equation,

$6 = - \frac{4}{3} (8) + c \\ 6 = - \frac{32}{3} + c \\ c = 6 + \frac{32}{3} \\ = 16 \frac{2}{3}$

therefore L2:

$y = - \frac{4}{3}x + 16 \frac{2}{3}$

Lets take L3 as the line parallel to L1.

Since L3 and L1 are parallel,

mL3 = mL1 = 3/4

equation of line: y = mx+c

substitute y = 6, x = 8 and m = 3/4 into equation.

$6 = ( \frac{3}{4} )(8) + c \\ 6 = 6 + c \\ c = 6 - 6 \\ = 0$

therefore L3:

$y = \frac{3}{4} x$

8 0

3 years ago

Find the equation of the line that passes through the point (-1, 2) and that has a

photoshop1234 [79]

Answer:

y = 4x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4, thus

y = 4x + c ← is the partial equation

To find c substitute (- 1, 2) into the partial equation

2 = - 4 + c ⇒ c = 2 + 4 = 6

y = 4x + 6 ← equation of line

4 0

3 years ago

Why would we use m^3 instead of cm^3 to describe the volume of a room?

Ivahew [28]

Answer:

Step-by-step explanation:

firat 4 78374748383838

3 0

1 year ago

There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp

Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

We have given that:

There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp

Part A:

According to the above mentioned statement the function for representing the number of alligators and crocodiles in the swap throughout the year is:

Alligators = y=20(1.25)^x (x represents years)

crocodiles: y=10x+25

Part B:

Number of alligators after 4 years in the swap = y=20(1.25)^x

Number of alligators after 4 years in the swap = y=20(1.25)^4

Number of alligators after 4 years in the swap=48.82

This shows that about 48 to 49 alligators will be there in the swap after 4 year

Number of crocodiles after 4 years in the swap = y= 10(4)+25 = 65

Part C:

We will use the graph method to solve this part:

After approximately 7 years, the number of animals of each type will be the same, 95.

7 0

3 years ago