Question

The
length of the equation
4x + 3y - 12 = 0 that intersects two
coordinate axes is
(a) 2.5 units
(b) 7 units
(C) 5 units
(d) 6 units​

Answer 1

Equation :4x+3y=12

When the graph units x axis, y coordinate become 0

4x+3(0)=12

4x=12

x=3

Simplify when the graph cuts the y axis, x coordinate is 0

4(0)+3y=12

3y=12

y=4

If OA=3unit

OB=4unit

By Pythagoras theorem

(AB)^2 =(OA)^2 +(OB)^2

(3)^2 +(4)^2

9+16

=25

$\sqrt{25}$

AB=5 units