Question 253665
The line equation is Y=mX+b where (X,Y) is one set of coordinates, m=the slope & b=the y intercept.
3x-12y=-10
-12y=-3x-10
y=-3x/-12-10/-12
y=x/4+5/6 is the line equation.
The Y intercept (b) is (0,5/6)
To find the x intercept you set y=0 & solve for x.
0=x/4+5/6
x/4=-5/6 cross multiply.
6x=-20
x=-20/6
x=-10/3 or (-10/3,0)
{{{ graph( 300, 200, -6, 5, -10, 10, x/4 +5/6) }}} (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, x/4 +5/6).