Question

Determine the x and y intercept of the line whose equation is 2x-3y- 5/4 =0.

Answer 1

$2x-3y- 5/4 =0$

$y=\dfrac{8x-5}{12}$

The y- intercept of the line in point $A(0,y_1)$

Consider $A(0;y_1)$ in $y=\dfrac{8x-5}{12}$

$y_1=\dfrac{8*0-5}{12}=-\dfrac{5}{12}$

$A(0,-\dfrac{5}{12})$

The x- intercept of the line in point $B(x_1,0)$

Consider $B(x_1,0)$ in $y=\dfrac{8x-5}{12}$

$0=\dfrac{x_1*8-5}{12}$

$x_1*8-5=0$

$x_1=\dfrac{5}{8}$

$B(\dfrac{5}{8},0)$