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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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