Question

Find the coordinates of points where the graph of equation 4x+3y=12,intersects x axis and y axis.

Answer 1

at x axis line intersect at 3 &at y axis 4

Answer 2

The coordinates of point intersect x-axis is (3,0).

The coordinates of point intersect y-axis is (0,4).

Step-by-step explanation:

To find : The coordinates of points where the graph of equation $4x+3y=12$, intersects x axis and y axis ?

Solution :

Point where the graph intersect x-axis must have its y-coordinates 0.

Putting y=0 in equation $4x+3y=12$,

$4x+3\times 0=12$

$4x=12$

$x=\frac{12}{4}$

$x=3$

So point intersect x-axis is (3,0).

Point where the graph intersect y-axis must have its x-coordinates 0.

Putting x=0 in equation $4x+3y=12$,

$4\times 0+3y=12$

$3y=12$

$y=\frac{12}{3}$

$y=4$

So point intersect y-axis is (0,4).

Refer the attached figure below.

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