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photoshop1234 [79]
3 years ago
5

Write an equation in slope intercept form that is perpendicular to 3x + 2y equals 12 and passes through the point (1,2)​

Mathematics
1 answer:
Zigmanuir [339]3 years ago
5 0

Answer:

The equation is y = (2/3)x + (4/3).

Step-by-step explanation:

First, you have to change the equation into slope-intecept formula to find its gradient (slope) :

3x + 2y = 12

2y =  - 3x + 12

y =   - \frac{3}{2}x  + 6

Given that when a line is perpendicular to the other line, their slope value multiplied, will form -1. Next, we have to find the slope for line :

m1 \times m2 =  - 1

-  \frac{3}{2}  \times m2 =  - 1

m2 =  - 1 \div  -  \frac{3}{2}

m2 =  \frac{2}{3}

Lastly, we have to subatitute the x and y values into the equation, to find its intercept value :

y =  \frac{2}{3}x  + b

let \: x = 1,y = 2

2 =  \frac{2}{3} (1) + b

b = 2 -  \frac{2}{3}

b =  \frac{4}{3}

y =  \frac{2}{3} x +  \frac{4}{3}

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Answer:

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Step-by-step explanation:

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Student ticket:  y

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divide by -1.5:                                                                              y = 104

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2 years ago
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Answer:

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Step-by-step explanation:

The order that the cities are chosen is not important, since it is chosen by the company and not by the traveler. So we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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