What do the values of m and b represent in the equation y mx +b?

Write the equation of the line passing through (−1, 0) and (0, −3).

e-lub [12.9K]

Answer:

C

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, - 3)

m = $\frac{-3-0}{0+1}$ = - 3

note the line crosses the y- axis at (0, - 3) ⇒ c = - 3

y = - 3x - 3 ← in slope- intercept form

Add 3x to both sides

3x + y = - 3 ← in standard form → C

8 0

3 years ago

Read 2 more answers

Pls see the attachment

iragen [17]

24 of the 720 numbers have the numbers 1, 2 and 3 in that order

<h3>How to determine the number of arrangements?</h3>

The digits are given as:

1, 2, 3, 4, 5, and 6

For 1, 2 and 3 to come in that order, then the three numbers must be treated as a digit

So, we have:

(123), 4, 5, and 6

Now, there are 4 digits.

The number of arrangements is then calculated as:

Arrangements = 4!

Expand

Arrangements = 4 * 3 * 2 * 1

Evaluate

Arrangements = 24

Hence, 24 of the 720 numbers have the numbers 1, 2 and 3 in that order

Read more about combination at:

brainly.com/question/11732255

#SPJ1

4 0

2 years ago

I serious help. a ton

kap26 [50]

Answer:

Since BD bisects Angle ABC, Angle ABD = Angle DBC

$3x+6=7x-18$

Subtract 6 from both sides:

$3x+6-6=7x-18-6$

$3x=7x-24$

Subtract 7x from both sides:

$3x-7x=7x-24-7x$

$-4x=-24$

Divide both sides by -4:

$\frac{-4x}{-4}=\frac{-24}{-4}$

$x=6$

Angle $ABD=3x+6=3(6)+6=18+6=24$

Angle $CBD=7x-18=7(6)-18=42-18=24$

Angle $ABC=ABD+CBD=24+24=48$

8 0

3 years ago

Read 2 more answers

Which is the best description for the graph below?<br><br> A graph decreases from (0, 3) to (9, 0).

AURORKA [14]

Answer:

Step-by-step explanation:

As we move from (0, 3) to (9, 0), we see x increasing by 9. This is the 'run.'

At the same time, we see y decreasing by 3. This is the 'rise.'

The slope of this line (graph) is m = rise / run = -3/9, or m = -1/3

Since we witness a decrease in y as we move from the first point to the second, we immediately suspect that the slope is negative.

8 0

3 years ago

Help me out with this question please!

Mandarinka [93]

Answer:

1) Length of BC + Length of DE = 17 cm

2) The perimeter of the shape ABCDEF is 58 cm

Step-by-step explanation:

1) The given parameters are;

The length of the rectangular sheet of paper = 17 cm

The width of the rectangular sheet of paper = 12 cm

Therefore, we have;

The length of the side of the cut out square piece = DE = CD

By the definition of a square, the length of all sides of the square are equal

The length of BC + The length of one side of the square = The length of the rectangular paper = 17 cm

The length of BC + The length of one side of the square DE (or CD) = 17 cm

2) The perimeter, 'P', of the shape ABCDEF is given as follows;

P = Length of AB + Length of BC + Length of CD + Length of DE + Length of EF + Length of FA

Therefore, we have;

P = Length of AB + Length of BC + Length of DE + Length of CD + Length of EF + Length of FA

Length of BC + Length of DE = 17 cm

Similarly, we have;

Length of CD + Length of EF = 12 cm

∴ P = Length of AB + 17 cm + 12 cm + Length of FA

P = 12 cm + 17 cm + 12 cm + 17 cm = 58 cm

The perimeter of the shape ABCDEF = P = 58 cm.

6 0

3 years ago