Question

x intercept of the line parallel to 4x+7y=9 and passing through (2,3)is​

Answer 1

Answer:

hi here is your answer

Answer 2

x intercept of the line parallel to 4x + 7y = 9 and passing through (2,3) is 29/4

Given :

The equation of the line 4x + 7y = 9

To find :

x intercept of the line parallel to 4x + 7y = 9 and passing through (2,3)

Solution :

Step 1 of 2 :

Write down the given equation of the line

Here the given equation of the line is

4x + 7y = 9

Step 2 of 2 :

Find the equation of the line parallel to 4x + 7y = 9 and passing through (2,3)

Let the equation of the line parallel to 4x + 7y = 9 is

4x + 7y = k - - - - - - (1)

Now the line given by Equation 1 passes through the point (2,3)

Thus we get

(4 × 2) + (7 × 3) = k

⇒ 8 + 21 = k

⇒ k = 29

So the equation of the line is 4x + 7y = 29

Step 3 of 3 :

Find x intercept of the line

The equation of the line obtained is

4x + 7y = 29 - - - - - - (2)

In order to find x intercept of the line we put y = 0

Thus we get from Equation 2

4x + 0 = 29

⇒ x = 29/4

Hence x intercept of the line parallel to 4x + 7y = 9 and passing through (2,3) is 29/4

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