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masya89 [10]
3 years ago
12

Write the equation in slope-intercept form. 4x+3y=18

Mathematics
1 answer:
Helen [10]3 years ago
6 0

Answer:

y = -4/3x + 6

Step-by-step explanation:

1. 3y - 4x + 3y = 18 - 3y

2. 4x = -3y + 18

3. 18 - 4x = -3y + 18 - 18

4. <u>-</u><u>3</u><u>/</u><u> </u><u>-3y = 4x - 18</u><u> </u><u>/</u><u>3</u>

5. y = -4/3x + 6

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3 years ago
Write the equation in slope intercept form. what are the slope and y intercept?
VMariaS [17]

Option C  

<u> Answer: </u>

The equation in slope intercept form is -\frac{5}{12} x-\frac{11}{12}

The slope is -\frac{5}{12} and y-intercept is -\frac{11}{12}

<u>Solution: </u>

The slope - intercept form equation of line is given as

y = mx + c    ---- eqn(1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

c is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that -5x - 12y = 11 --- eqn (2)

On converting equation (2) in slope – intercept form, that is adding 5x on both sides,

-5x - 12y + 5x = 5x + 11

-12y = 5x + 11

Now on dividing -12 on both sides,

y=-\frac{5}{12} x-\frac{11}{12}     ---- eqn (3)

Comparing the given equation (3) with equation (1), we get  

m = -\frac{5}{12} and c = -\frac{11}{12}

Hence Option C is correct.

5 0
3 years ago
A bakery can make 30 donuts every 15 minutes. What is the unit rate at which the bakery makes donuts?
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Answer:

Your answer is 2/1. 2 donuts every minute.

Step-by-step explanation: The rate you are given is 30 donuts every 30 minutes. This equals 30/15.

To make a unit rate, you must make the fraction have a ratio of x/1. You can simply do this by dividing and/or simplifying the equation 30/15.

4 0
3 years ago
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