Question

Find the x-and y-intercepts of the line:3x - 4y = 12A.x-int: (-4,0)y-int: (0,3)B. x-int: (4,0)y-int: (0, -3)C. x-int: (0,4)y-int:(-3,0)D. x-int: (0,-4)y-int: (3,0)

Answer 1

To find the x-intercept, simply but y=0 in the equation given and solve for x

That is;

3x - 4y = 12

3x - 4(0) = 12

3x = 12

Divide both-side of the equation by 3

x= 4

The x-intercept is;

(4, 0)

To find the y-intercept, simply put y=0 in the equation given and then solve for y

That is;

3x - 4y = 12

3(0) - 4y = 12

-4y = 12

Divide both-side of the equation by -4

y = -3

The y-intercept is (0, -3)

Hence, the correct option is B.

x-int: (4,0)

y-int: (0, -3)