Math, asked by saraswatiswain5562, 9 months ago

In the given figure, the equation of AB is
2y - 3x = 6. Find the co-ordinates of A and B.​

Answers

Answered by anjeeshoaib
2

Step-by-step explanation:

AB is 3y + 2x = 14

step by step has solved below.

Now we can write 2y = 3x + 5 as,

y = 3/2x + 5/2

this equation is like y = mx + c

here 'm' is the gradient and the intercept is c.

By looking at this equation ,y = 3/2x + 5/2

we can say 3/2 is the gradient of your given line y = 3/2x + 5/2.

Their is a theory that two straight lines are perpendicular multipication of the two gradients of them make -1.

Think two straight lines which are perpendicular and m1 and m2 are the gradients of them.

m1* m2 = -1

Thus we can get the gradient of any line which are perpendicular to the line y = 3/2x + 5/2.

We take it as ‘m’

m * 3/2 = -1

m = -2/3

Now we can make the equation of the line which go through (-2 , 6) and perpendicular to the line y = 3/2x + 5/2.

It give as follow

[y - 6]/[x - (-2)] = -2/3

3[y - 6] = -2[x - (-2)]

3[y - 6] = -2[x + 2]

3y - 18 = -2x - 4

3y + 2x - 14 = 0

3y + 2x = 14

The equation of the line AB is

3y + 2x = 14

Answered by aasimashade
2

Answer:

if x=0

2y=6

y=6/2

=3

(o, 3)

if x=1

2y=6-3

y=3/2

(1, 3/2)

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