Question

what are the coordinates of the point of the graph of the equation 4x-3y=11 with the x-axis? A) (11/4,0) B) (0,11/4) C) (4/11,0) D) (0,4/11) ​

Answer 1

For which grade is this?

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

The coordinates of the point of the graph of the equation 4x - 3y = 11 with the x-axis

A) (11/4,0)

B) (0,11/4)

C) (4/11,0)

D) (0,4/11)

EVALUATION

Here the given equation of the line is

4x - 3y = 11

Let the equation cuts X axis at the point P

Then ordinate of P = 0

So we have y = 0

From the equation 4x - 3y = 11 we get

4x = 11

$\displaystyle\sf{ \implies \: x = \frac{11}{4} }$

Hence the coordinates of the point P is

$\displaystyle\sf{ \bigg( \frac{11}{4} ,0 \bigg)}$

FINAL ANSWER

Hence the correct option is

$\displaystyle\sf{ A) \: \: \: \bigg( \frac{11}{4} ,0 \bigg)}$

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