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skelet666 [1.2K]
3 years ago
10

Write the equation of the line, given the y and x-intercepts.

Mathematics
1 answer:
Dimas [21]3 years ago
5 0

Answer:

y = -(2/3)m - 2

Step-by-step explanation:

recall that the general equation of a straight line in slope-intercept form is

y = mx + b

where, m is the slope and b is the y - intercept

here we are given that the y - intercept is -2, hence the equation becomes:

y = mx + (-2)

or

y = mx -2

we are also given that the x-intercept is -3, which means that when y = 0, x = -3 (simply substitute this into our new equation to solve for m)

0 = m(-3) -2

0 = -3m - 2  (add 3m to both sides)

3m = -2  (divide both sides by 3)

m = -(2/3)

hence our equation is now

y = -(2/3)m - 2

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Solve the Equation. <br> 6x−3(x+8)=9<br><br> x=?
Hunter-Best [27]

Answer:

x = -5

Step-by-step explanation:

Simplifying

6x + -3(x + -8) = 9

Reorder the terms:

6x + -3(-8 + x) = 9

6x + (-8 * -3 + x * -3) = 9

6x + (24 + -3x) = 9

Reorder the terms:

24 + 6x + -3x = 9

Combine like terms: 6x + -3x = 3x

24 + 3x = 9

Solving

24 + 3x = 9

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 3x = 9 + -24

Combine like terms: 24 + -24 = 0

0 + 3x = 9 + -24

3x = 9 + -24

Combine like terms: 9 + -24 = -15

3x = -15

Divide each side by '3'.

x = -5

Hope this Helps

I hope this is correct


3 0
3 years ago
Read 2 more answers
PLEASE HELP<br><br><br> What is the equation of the line shown?
Ivenika [448]

So, let's start off with explaining what these different questions mean;

y = |x + c| Shifts the graph c units left.

y = |x - c| Shifts the graph c units right.

y = |x| + c Shifts the graph c units up.

y = |x| - c Shifts the graph c units down.

(0,0) Is the starting point on any graph like this. So, determine the answer by going through the list of answers.

I believe the answer is y = 2x.

I would like to know if I am wrong so contact me!!

8 0
3 years ago
What fraction is equivalent to 3/9​
cluponka [151]

Answer:

There are infinity equivalent fractions to 3/9

Step-by-step explanation:

1 /3, 2 /6, 3/ 9, 4 /12, 5/ 15, 6 /18, 7/ 21, 8/ 24, 9 /27, 10/ 30, 11/ 33, 12/ 36, 13/ 39, 14 /42, 15 /45..........

7 0
3 years ago
Find b. Round to the nearest tenth.
Svetradugi [14.3K]
Find Angle B:  B = 180 - (82+55) = 43.  Then apply the law of sines:

   b            8 cm
--------- = ----------
sin 43       sin 55
                                        (sin 43)(8 cm)
Solving for b, we get b = ------------------- = 6.66, or 6.7 (cm, to the nearest tenth).     
                                              sin 55
5 0
3 years ago
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Write 3x+4y=12 in slope intercept form
cestrela7 [59]
Ok, let’s take it step by step.
In order to write an equation in slope intercept form, solve for y.
3x+4y=12
First, subtract 3x from both sides.
4y=-3x+12
Now, divide both sides by 4.
y=-3/4x+3.

So, 3x+4y=12 written in slope intercept form is y=-3/4x+3.
5 0
3 years ago
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