All categories

3 years ago

Write the equation of the line given the slope and the point that it passes through.

Mathematics

1 answer:

enyata [817]3 years ago

7 0

Answer:

slope (m)= 2/7

X1= 1

y1= 2

formula from equation of the line:

1. Y2 - Y1/ X2 - X1 ( if you know 2 point )

2. y - y1 = m × ( x - x1 ) (if you know the slope and 1 point )

3. mx + c = y ( if you know the slope and the y-axis )

because the known gradient and 1 point, then use the formula number 2.

let's get into the formula:

y - y1= m × (x -x1)

y - 2 = 2/7 × ( x - 1 )

y - 2 = 2/7x - 2/7

y= 2/7x - 2/7 + 2

y = 2/7x + 12/7

You might be interested in

Dahasolnce [82]

Answer:

C (3x4) + (5x2) + 20

Step-by-step explanation:

3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.

3 0

3 years ago

The perimeter of a rectangular swimming pool is represented by the expression 8x – 2.

sineoko [7]

Im pretty sure your answer would be D, 6x

but tell me if im wrong.

5 0

2 years ago

Solve for x. 5x - 1 = 26 x = x = 5 x = -5

Doss [256]

Answer:

x = 27/5

Step-by-step explanation:

5x - 1 = 26

Add 1 to each side

5x - 1 = 26

5x-1+1 = 26+1

5x = 27

Divide each side by 5

5x/5 = 27/5

x = 27/5

5 0

2 years ago

Simultaneous equations 5x+y=28 x+y=2

ludmilkaskok [199]

Answer:

Step-by-step explanation:

$5x + y = 28$

$x + y = 8$

Solve the equation for y by moving 'x' to R.H.S and changing its sign

$5x + y = 28$

$y = 2 - x$

Substitute the given value of y into the equation 5x + y = 28

$5x + 2 - x = 28$

Solve the equation for x

Collect like terms

$4x + 2 = 28$

Move constant to R.H.S and change its sign

$4x = 28 - 2$

Subtract the numbers

$4x = 26$

Divide both sides of the equation by 4

$\frac{4x}{4} = \frac{26}{4}$

Calculate

$x = \frac{26}{4}$

Reduce the numbers with 2

$x = \frac{13}{2}$

Now, substitute the given value of x into the equation y = 2 - x

$y = 2 - \frac{13}{2}$

Solve the equation for y

$y = - \frac{9}{2}$

The possible solution of the system is the ordered pair ( x , y )

-------------------------------------------------------------

Let's check if the given ordered pair is the solution of the system of equation:

plug the value of x and y in both equation

$5 \times \frac{13}{2} - \frac{9}{2} = 28$

$\frac{13}{2} - \frac{9}{2} = 2$

Simplify the equalities

$28 = 28$

$2 = 2$

Since , all of the equalities are true, the ordered pair is the solution of the system.

$(x \:, y \: ) = ( \frac{13}{2} \: , - \frac{9}{2})$

Hope this helps....

Best regards!!

5 0

3 years ago

Read 2 more answers

Find the equation of the line passing through the points (15,-25) and (-12,11). Write your answer in the form of y=mx+b

schepotkina [342]

(15,-25)(-12,11)
slope = (11 - (-25) / (-12 - 15) = - 36 / 27 which reduces to - 4/3

y = mx + b
slope(m) = -4/3
use either of ur points (15,-25)...x = 15 and y = -25
now we sub and find b, the y int
-25 = -4/3(15) + b
-25 = - 20 + b
-25 + 20 = b
-5 = b

so ur equation is : y = -4/3x - 5 <==

3 0

3 years ago