Solve 4x 12 > 6x

Write the slope-intercept form of the equation that passes through the given points. (separate equations for each of them)

guajiro [1.7K]

Answer:

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

Part 2) $y=3x-16$

Part 3) $y=4$

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

Part 1) we have

(10,-3) (5,-2)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{-2+3}{5-10}$

$m=\frac{1}{-5}$

$m=-\frac{1}{5}$

Find the value of b

we have

$m=-\frac{1}{5}$

$point (10,-3)$

substitute in the equation $y=mx+b$ and solve for b

$-3=-\frac{1}{5}(10)+b$

$-3=-2+b$

$b=-3+2=-1$

substitute

$y=-\frac{1}{5}x-1$

Part 2) we have

(6,2) (7,5)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{5-2}{7-6}$

$m=\frac{3}{1}$

$m=3$

Find the value of b

we have

$m=3$

$point (6,2)$

substitute in the equation $y=mx+b$ and solve for b

$2=3(6)+b$

$2=18+b$

$b=2-18=-16$

substitute

$y=3x-16$

Part 3) we have

(4,4) (-7,4)

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute

$m=\frac{4-4}{-7-4}$

$m=\frac{0}{-11}$

$m=0$

This is a horizontal line (parallel to the x-axis)

The y-intercept b is equal to the y-coordinate

therefore

The equation of the line is

$y=4$

6 0

3 years ago

hello hello the area of a triangle is 32 square in the height of the triangle is 8 in what is the length of the base of a triang

solniwko [45]

As we know
area of triangle = 1/2 *height*base
32=1/2*8*base
32=4*base
8 =base

3 0

3 years ago

Read 2 more answers

Select all the equations that have x = 0.9 as a solution

Solnce55 [7]

C and d are going to be the answers to your question. >-< :)

7 0

3 years ago

Tell which transformation is shown by the change in ordered pairs

iren [92.7K]

Answer:

Translation

Step-by-step explanation:

Transformation is the movement of objects in the coordinate plane. It can be through any of translation, reflection or rotation. The kind of transformation that occurs in ordered pairs is translation e.g if the ordered pair is (1, 4) x = 1, while y = 4. if it is translated we have (4, 1) such that x is now 4 while y is 1

4 0

3 years ago

Alanna is painting a border along the top of a wall. the border consists of kite-shaped figures as shown. 3 kites are connected

Dmitrij [34]

If each kite measures 6 inches across and 12 inches long. The square inches of the wall will be: 864 square inches.

<h3> Square inches of the wal</h3>

Diagonals= d1 and d2

First step

Area =(1/2)×(d1×d2)

Area=(1/2)×(6×12)

Area =36 in²

Second step

1 feet = 12 inches

12 feet = 12×12

12 feet = 144 in

Third step

Number of square inches=(144/6)×36

Number of square inches=24×36

Number of square inches= 864 square inches

Therefore the square inches of the wall will be: 864 square inches.

Learn more about square inches here:brainly.com/question/9895399

6 0

2 years ago

Read 2 more answers

Solve 4x 12 > 6x - 30